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Finding the Fourth Proportional to 99.17, 136.85 and 59.83

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Solution

The fourth proportional to 99.17, 136.85 and 59.83 is: 82.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.17 : 136.85 = 59.83 : x
  2. Step 2: Convert to fraction form
    99.17/136.85 = 59.83/x
  3. Step 3: Cross multiply
    99.17x = 136.85 × 59.83
  4. Step 4: Simplify right side
    99.17x = 8,186.75
  5. Step 5: Solve for x
    x = 8,186.75/99.17
  6. Step 6: Final answer
    x = 82.56

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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.