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Finding the Fourth Proportional to 83.65, 125.22 and 54.73

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Solution

The fourth proportional to 83.65, 125.22 and 54.73 is: 81.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.65 : 125.22 = 54.73 : x
  2. Step 2: Convert to fraction form
    83.65/125.22 = 54.73/x
  3. Step 3: Cross multiply
    83.65x = 125.22 × 54.73
  4. Step 4: Simplify right side
    83.65x = 6,853.29
  5. Step 5: Solve for x
    x = 6,853.29/83.65
  6. Step 6: Final answer
    x = 81.93

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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.