Finding the Fourth Proportional to 105.69, 158.50 and 32.55

Step by Step Solution

1. Step 1: Write the proportion equation
   105.69 : 158.50 = 32.55 : x
2. Step 2: Convert to fraction form
   105.69/158.50 = 32.55/x
3. Step 3: Cross multiply
   105.69x = 158.50 × 32.55
4. Step 4: Simplify right side
   105.69x = 5,159.18
5. Step 5: Solve for x
   x = 5,159.18/105.69
6. Step 6: Final answer
   x = 48.81