Finding the Fourth Proportional to 105.12, 158.76 and 105.12

Step by Step Solution

1. Step 1: Write the proportion equation
   105.12 : 158.76 = 105.12 : x
2. Step 2: Convert to fraction form
   105.12/158.76 = 105.12/x
3. Step 3: Cross multiply
   105.12x = 158.76 × 105.12
4. Step 4: Simplify right side
   105.12x = 16,688.85
5. Step 5: Solve for x
   x = 16,688.85/105.12
6. Step 6: Final answer
   x = 158.76