I have a 1996 dodge intrepid and the car shaking when the speed is between 35 & 55 mph; and this shaking increase if I try to stop the car. Someone told me than maybe was a traffic continous bottom or its a transmission problem.

Hi Gurusam, Take the vehicle and have the wheels balanced as your first course of action. If the problem persists afterwards then have the suspension checked for any signs of ware on the joints and the linkages. I believe the first action will cure the problem. Regards John

this would be your cv axle the clunking is a sure sign ,its the same noise in all front wheel drive cars,if not fixed it can cause a number of other problems.this is your front drive axle.

Wheel joint, ortire out of balance.

try a noise filter on the signal wire going from the accelerator pedal position sensor, dont know the name of it but somebody makes a kit for these trucks

Change the fuel filter & make sure the fuel pump is putting out enough pressure. Good luck!

code 35 is a problemin the cooling fan relay it is either open or shorted code 55 means end of code output,or to say there are no more codes. Ray

the cause is a broken belt or belts in your tire i would replace them

Only at high speeds or all the time? It could mean you need an alignment, new busings in the front suspension, wheel balance, etc. 
Any more specifics on the shaking?

What is the actual problem?

rack and pinion is the steering wheel joint, so if the steering wheel shakes or handling has decreased, then i would say it is the rp. , also check the wear on the tires for uneven wear, it could be alignment, does the steering pull to one side? it could be motor mounts just find the bolts and check em wiht a torque wrench, also inspect mounting bushings as well. to check trans. give it alot of gas to get past 35-45 mph and the shaking should go away at higher speeds, if it doesnt then its the trans missing "third".