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Finding the Fourth Proportional to 61.76, 92.66 and 27.52

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Solution

The fourth proportional to 61.76, 92.66 and 27.52 is: 41.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.76 : 92.66 = 27.52 : x
  2. Step 2: Convert to fraction form
    61.76/92.66 = 27.52/x
  3. Step 3: Cross multiply
    61.76x = 92.66 × 27.52
  4. Step 4: Simplify right side
    61.76x = 2,549.77
  5. Step 5: Solve for x
    x = 2,549.77/61.76
  6. Step 6: Final answer
    x = 41.29

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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.