2001 Accent steering wheel shake
 

My 2001 Accent with 120000 km starts to shake at the steering wheel
when travelling at speeds over 100kph. I had the tires replaced and
balanced but it did not resolve my problem. Before replacing the
struts, it was suggested that I simply rotate the front and rear
tires. Now the steering wheel does not shake but the car rumbles
slightly at speeds over 120kph. What to do next?