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Finding the Fourth Proportional to 99.76, 137.35 and 84.97

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Solution

The fourth proportional to 99.76, 137.35 and 84.97 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.76 : 137.35 = 84.97 : x
  2. Step 2: Convert to fraction form
    99.76/137.35 = 84.97/x
  3. Step 3: Cross multiply
    99.76x = 137.35 × 84.97
  4. Step 4: Simplify right side
    99.76x = 11,670.63
  5. Step 5: Solve for x
    x = 11,670.63/99.76
  6. Step 6: Final answer
    x = 116.99

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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.