Finding the Fourth Proportional to 109.59, 164.35 and 32.56

Step by Step Solution

1. Step 1: Write the proportion equation
   109.59 : 164.35 = 32.56 : x
2. Step 2: Convert to fraction form
   109.59/164.35 = 32.56/x
3. Step 3: Cross multiply
   109.59x = 164.35 × 32.56
4. Step 4: Simplify right side
   109.59x = 5,350.87
5. Step 5: Solve for x
   x = 5,350.87/109.59
6. Step 6: Final answer
   x = 48.83