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Finding the Fourth Proportional to 27.53, 41.10 and 24.97

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Solution

The fourth proportional to 27.53, 41.10 and 24.97 is: 37.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.53 : 41.10 = 24.97 : x
  2. Step 2: Convert to fraction form
    27.53/41.10 = 24.97/x
  3. Step 3: Cross multiply
    27.53x = 41.10 × 24.97
  4. Step 4: Simplify right side
    27.53x = 1,026.27
  5. Step 5: Solve for x
    x = 1,026.27/27.53
  6. Step 6: Final answer
    x = 37.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.