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Finding the Fourth Proportional to 96.57, 132.47 and 94.18

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Solution

The fourth proportional to 96.57, 132.47 and 94.18 is: 129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.57 : 132.47 = 94.18 : x
  2. Step 2: Convert to fraction form
    96.57/132.47 = 94.18/x
  3. Step 3: Cross multiply
    96.57x = 132.47 × 94.18
  4. Step 4: Simplify right side
    96.57x = 12,476.02
  5. Step 5: Solve for x
    x = 12,476.02/96.57
  6. Step 6: Final answer
    x = 129.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.