Finding the Fourth Proportional to 109.88, 164.76 and 32.82

Step by Step Solution

1. Step 1: Write the proportion equation
   109.88 : 164.76 = 32.82 : x
2. Step 2: Convert to fraction form
   109.88/164.76 = 32.82/x
3. Step 3: Cross multiply
   109.88x = 164.76 × 32.82
4. Step 4: Simplify right side
   109.88x = 5,407.42
5. Step 5: Solve for x
   x = 5,407.42/109.88
6. Step 6: Final answer
   x = 49.21