Finding the Fourth Proportional to 142.82, 196.98 and 120.32

Step by Step Solution

1. Step 1: Write the proportion equation
   142.82 : 196.98 = 120.32 : x
2. Step 2: Convert to fraction form
   142.82/196.98 = 120.32/x
3. Step 3: Cross multiply
   142.82x = 196.98 × 120.32
4. Step 4: Simplify right side
   142.82x = 23,700.63
5. Step 5: Solve for x
   x = 23,700.63/142.82
6. Step 6: Final answer
   x = 165.95