1996 LHS with 115000 miles started experiencing 'rocking' or shaking motion while cruising at speeds > 40 mph. I first noticed this on the drive home from a long road trip approx 1 month ago. Had just put on new tires, and when tires were first put on, the car was riding great. I thought maybe the wheels needed to be re-balanced, but that did not solve the problem. I had the trans checked out, and no problem there - trans mechanic things it's the engine. I changed the air filter but that didn't help. The best way I can descrive the problem is that the car drives rough and everyone in the car can feel it 'shake' momentarily, quite frequenctly, while cruising at speeds over 40 mph. I say cruising because if you accelerate the shake is not as noticeable. Any ideas?