Finding the Fourth Proportional to 105.82, 158.75 and 32.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 158.75 = 32.69 : x
2. Step 2: Convert to fraction form
   105.82/158.75 = 32.69/x
3. Step 3: Cross multiply
   105.82x = 158.75 × 32.69
4. Step 4: Simplify right side
   105.82x = 5,189.54
5. Step 5: Solve for x
   x = 5,189.54/105.82
6. Step 6: Final answer
   x = 49.04