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Finding the Fourth Proportional to 96.30, 132.96 and 88.08

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Solution

The fourth proportional to 96.30, 132.96 and 88.08 is: 121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.30 : 132.96 = 88.08 : x
  2. Step 2: Convert to fraction form
    96.30/132.96 = 88.08/x
  3. Step 3: Cross multiply
    96.30x = 132.96 × 88.08
  4. Step 4: Simplify right side
    96.30x = 11,711.12
  5. Step 5: Solve for x
    x = 11,711.12/96.30
  6. Step 6: Final answer
    x = 121.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.