Finding the Fourth Proportional to 106.86, 160.29 and 34.72

Step by Step Solution

1. Step 1: Write the proportion equation
   106.86 : 160.29 = 34.72 : x
2. Step 2: Convert to fraction form
   106.86/160.29 = 34.72/x
3. Step 3: Cross multiply
   106.86x = 160.29 × 34.72
4. Step 4: Simplify right side
   106.86x = 5,565.27
5. Step 5: Solve for x
   x = 5,565.27/106.86
6. Step 6: Final answer
   x = 52.08