Finding the Fourth Proportional to 109.34, 164 and 32.32

Step by Step Solution

1. Step 1: Write the proportion equation
   109.34 : 164 = 32.32 : x
2. Step 2: Convert to fraction form
   109.34/164 = 32.32/x
3. Step 3: Cross multiply
   109.34x = 164 × 32.32
4. Step 4: Simplify right side
   109.34x = 5,300.48
5. Step 5: Solve for x
   x = 5,300.48/109.34
6. Step 6: Final answer
   x = 48.48