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Finding the Fourth Proportional to 61.72, 92.57 and 27.50

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Solution

The fourth proportional to 61.72, 92.57 and 27.50 is: 41.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.72 : 92.57 = 27.50 : x
  2. Step 2: Convert to fraction form
    61.72/92.57 = 27.50/x
  3. Step 3: Cross multiply
    61.72x = 92.57 × 27.50
  4. Step 4: Simplify right side
    61.72x = 2,545.07
  5. Step 5: Solve for x
    x = 2,545.07/61.72
  6. Step 6: Final answer
    x = 41.24

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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.