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Finding the Fourth Proportional to 61.73, 92.61 and 27.53

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Solution

The fourth proportional to 61.73, 92.61 and 27.53 is: 41.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.73 : 92.61 = 27.53 : x
  2. Step 2: Convert to fraction form
    61.73/92.61 = 27.53/x
  3. Step 3: Cross multiply
    61.73x = 92.61 × 27.53
  4. Step 4: Simplify right side
    61.73x = 2,549.09
  5. Step 5: Solve for x
    x = 2,549.09/61.73
  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.