Finding the Fourth Proportional to 127.82, 176.49 and 100.17

Step by Step Solution

1. Step 1: Write the proportion equation
   127.82 : 176.49 = 100.17 : x
2. Step 2: Convert to fraction form
   127.82/176.49 = 100.17/x
3. Step 3: Cross multiply
   127.82x = 176.49 × 100.17
4. Step 4: Simplify right side
   127.82x = 17,679.00
5. Step 5: Solve for x
   x = 17,679.00/127.82
6. Step 6: Final answer
   x = 138.31