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Finding the Fourth Proportional to 41.09, 56.71 and 24.73

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Solution

The fourth proportional to 41.09, 56.71 and 24.73 is: 34.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.09 : 56.71 = 24.73 : x
  2. Step 2: Convert to fraction form
    41.09/56.71 = 24.73/x
  3. Step 3: Cross multiply
    41.09x = 56.71 × 24.73
  4. Step 4: Simplify right side
    41.09x = 1,402.44
  5. Step 5: Solve for x
    x = 1,402.44/41.09
  6. Step 6: Final answer
    x = 34.13

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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.