Finding the Fourth Proportional to 137.43, 206.17 and 111.69

Step by Step Solution

1. Step 1: Write the proportion equation
   137.43 : 206.17 = 111.69 : x
2. Step 2: Convert to fraction form
   137.43/206.17 = 111.69/x
3. Step 3: Cross multiply
   137.43x = 206.17 × 111.69
4. Step 4: Simplify right side
   137.43x = 23,026.15
5. Step 5: Solve for x
   x = 23,026.15/137.43
6. Step 6: Final answer
   x = 167.55