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Finding the Fourth Proportional to 83.72, 115.47 and 76.83

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Solution

The fourth proportional to 83.72, 115.47 and 76.83 is: 105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.72 : 115.47 = 76.83 : x
  2. Step 2: Convert to fraction form
    83.72/115.47 = 76.83/x
  3. Step 3: Cross multiply
    83.72x = 115.47 × 76.83
  4. Step 4: Simplify right side
    83.72x = 8,871.56
  5. Step 5: Solve for x
    x = 8,871.56/83.72
  6. Step 6: Final answer
    x = 105.97

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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.