Finding the Fourth Proportional to 105.10, 157.55 and 32.91

Step by Step Solution

1. Step 1: Write the proportion equation
   105.10 : 157.55 = 32.91 : x
2. Step 2: Convert to fraction form
   105.10/157.55 = 32.91/x
3. Step 3: Cross multiply
   105.10x = 157.55 × 32.91
4. Step 4: Simplify right side
   105.10x = 5,184.22
5. Step 5: Solve for x
   x = 5,184.22/105.10
6. Step 6: Final answer
   x = 49.33