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Finding the Fourth Proportional to 84.65, 126.91 and 38.97

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Solution

The fourth proportional to 84.65, 126.91 and 38.97 is: 58.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.65 : 126.91 = 38.97 : x
  2. Step 2: Convert to fraction form
    84.65/126.91 = 38.97/x
  3. Step 3: Cross multiply
    84.65x = 126.91 × 38.97
  4. Step 4: Simplify right side
    84.65x = 4,945.73
  5. Step 5: Solve for x
    x = 4,945.73/84.65
  6. Step 6: Final answer
    x = 58.43

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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.