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Finding the Fourth Proportional to 96.49, 133.05 and 63.69

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Solution

The fourth proportional to 96.49, 133.05 and 63.69 is: 87.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.49 : 133.05 = 63.69 : x
  2. Step 2: Convert to fraction form
    96.49/133.05 = 63.69/x
  3. Step 3: Cross multiply
    96.49x = 133.05 × 63.69
  4. Step 4: Simplify right side
    96.49x = 8,473.29
  5. Step 5: Solve for x
    x = 8,473.29/96.49
  6. Step 6: Final answer
    x = 87.82

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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.