Finding the Fourth Proportional to 142.71, 196.71 and 101.17

Step by Step Solution

1. Step 1: Write the proportion equation
   142.71 : 196.71 = 101.17 : x
2. Step 2: Convert to fraction form
   142.71/196.71 = 101.17/x
3. Step 3: Cross multiply
   142.71x = 196.71 × 101.17
4. Step 4: Simplify right side
   142.71x = 19,901.15
5. Step 5: Solve for x
   x = 19,901.15/142.71
6. Step 6: Final answer
   x = 139.45