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Finding the Fourth Proportional to 80.34, 110.88 and 47.61

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Solution

The fourth proportional to 80.34, 110.88 and 47.61 is: 65.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.34 : 110.88 = 47.61 : x
  2. Step 2: Convert to fraction form
    80.34/110.88 = 47.61/x
  3. Step 3: Cross multiply
    80.34x = 110.88 × 47.61
  4. Step 4: Simplify right side
    80.34x = 5,279.00
  5. Step 5: Solve for x
    x = 5,279.00/80.34
  6. Step 6: Final answer
    x = 65.71

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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.