Finding the Fourth Proportional to 111.46, 167.15 and 106.42

Step by Step Solution

1. Step 1: Write the proportion equation
   111.46 : 167.15 = 106.42 : x
2. Step 2: Convert to fraction form
   111.46/167.15 = 106.42/x
3. Step 3: Cross multiply
   111.46x = 167.15 × 106.42
4. Step 4: Simplify right side
   111.46x = 17,788.10
5. Step 5: Solve for x
   x = 17,788.10/111.46
6. Step 6: Final answer
   x = 159.59