Finding the Fourth Proportional to 105.92, 159.12 and 101.72

Step by Step Solution

1. Step 1: Write the proportion equation
   105.92 : 159.12 = 101.72 : x
2. Step 2: Convert to fraction form
   105.92/159.12 = 101.72/x
3. Step 3: Cross multiply
   105.92x = 159.12 × 101.72
4. Step 4: Simplify right side
   105.92x = 16,185.69
5. Step 5: Solve for x
   x = 16,185.69/105.92
6. Step 6: Final answer
   x = 152.81