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Finding the Fourth Proportional to 99.91, 137.82 and 82.45

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Solution

The fourth proportional to 99.91, 137.82 and 82.45 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.91 : 137.82 = 82.45 : x
  2. Step 2: Convert to fraction form
    99.91/137.82 = 82.45/x
  3. Step 3: Cross multiply
    99.91x = 137.82 × 82.45
  4. Step 4: Simplify right side
    99.91x = 11,363.26
  5. Step 5: Solve for x
    x = 11,363.26/99.91
  6. Step 6: Final answer
    x = 113.73

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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.