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Finding the Fourth Proportional to 99.16, 136.85 and 82.76

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Solution

The fourth proportional to 99.16, 136.85 and 82.76 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.16 : 136.85 = 82.76 : x
  2. Step 2: Convert to fraction form
    99.16/136.85 = 82.76/x
  3. Step 3: Cross multiply
    99.16x = 136.85 × 82.76
  4. Step 4: Simplify right side
    99.16x = 11,325.71
  5. Step 5: Solve for x
    x = 11,325.71/99.16
  6. Step 6: Final answer
    x = 114.22

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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.