It is not clear that 4.5 inches partition wall is to be made as brick wall or R.C.C. partition wall. However, I am taking both cases as follows.
1. Brick partition wall 4.5 Inches thick.
A) If the height of wall is not more than 7 feet, the length of wall is not more than 10 feet and no door and window is provided in the wall, there is no need to provide any steel bars. These walls are called 4.5 inch thick wall without hoop iron.
B) Hoop Iron wall: If 4.5 inch thick partition wall having different specifications stated above, Hoop iron should be provided in walls as under.
2. R.C.C. partition wall 4.5 Inches thick
If you are constructing 4.5 inch thick R.C.C. partition wall, use 10 mm dia Mild Steel Bars, 6 inch centre to centre both ways and use cement concrete 1:1.5:3.