Finding the Fourth Proportional to 142.50, 196.55 and 120.51

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 196.55 = 120.51 : x
2. Step 2: Convert to fraction form
   142.50/196.55 = 120.51/x
3. Step 3: Cross multiply
   142.50x = 196.55 × 120.51
4. Step 4: Simplify right side
   142.50x = 23,686.22
5. Step 5: Solve for x
   x = 23,686.22/142.50
6. Step 6: Final answer
   x = 166.22