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Finding the Fourth Proportional to 113.27, 169.83 and 82.79

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Solution

The fourth proportional to 113.27, 169.83 and 82.79 is: 124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.27 : 169.83 = 82.79 : x
  2. Step 2: Convert to fraction form
    113.27/169.83 = 82.79/x
  3. Step 3: Cross multiply
    113.27x = 169.83 × 82.79
  4. Step 4: Simplify right side
    113.27x = 14,059.38
  5. Step 5: Solve for x
    x = 14,059.38/113.27
  6. Step 6: Final answer
    x = 124.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.