I recently purchased an old Centurion Pro Tour 15 touring bike. It is 15 speed with five in the back. The rear wheel spacing measures 126mm on a Suzue Sealed Tech 40h hub with 27" tires. The bike is in pretty good shape. Would a road bike wheel in 130mm spacing work as a rear wheel in 700c. I have already put a 700c wheel on the front and was able to adjust the brakes to work just fine. I think this bike is a 1982 to 1984 vintage. My goal would be to increase this bike to a 21 speed. I will only be riding this bike on paved roads and will not use it for touring since I already have a nice touring bike. Thank you.