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Finding the Fourth Proportional to 99.49, 137.17 and 81.94

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Solution

The fourth proportional to 99.49, 137.17 and 81.94 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.49 : 137.17 = 81.94 : x
  2. Step 2: Convert to fraction form
    99.49/137.17 = 81.94/x
  3. Step 3: Cross multiply
    99.49x = 137.17 × 81.94
  4. Step 4: Simplify right side
    99.49x = 11,239.71
  5. Step 5: Solve for x
    x = 11,239.71/99.49
  6. Step 6: Final answer
    x = 112.97

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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.