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Finding the Fourth Proportional to 96.92, 133.57 and 89.16

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Solution

The fourth proportional to 96.92, 133.57 and 89.16 is: 122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.92 : 133.57 = 89.16 : x
  2. Step 2: Convert to fraction form
    96.92/133.57 = 89.16/x
  3. Step 3: Cross multiply
    96.92x = 133.57 × 89.16
  4. Step 4: Simplify right side
    96.92x = 11,909.10
  5. Step 5: Solve for x
    x = 11,909.10/96.92
  6. Step 6: Final answer
    x = 122.88

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Why These Related Problems?

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