Finding the Fourth Proportional to 127.71, 191.16 and 100.71

Step by Step Solution

1. Step 1: Write the proportion equation
   127.71 : 191.16 = 100.71 : x
2. Step 2: Convert to fraction form
   127.71/191.16 = 100.71/x
3. Step 3: Cross multiply
   127.71x = 191.16 × 100.71
4. Step 4: Simplify right side
   127.71x = 19,251.72
5. Step 5: Solve for x
   x = 19,251.72/127.71
6. Step 6: Final answer
   x = 150.75