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Finding the Fourth Proportional to 44.57, 67.09 and 37.97

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Solution

The fourth proportional to 44.57, 67.09 and 37.97 is: 57.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.57 : 67.09 = 37.97 : x
  2. Step 2: Convert to fraction form
    44.57/67.09 = 37.97/x
  3. Step 3: Cross multiply
    44.57x = 67.09 × 37.97
  4. Step 4: Simplify right side
    44.57x = 2,546.88
  5. Step 5: Solve for x
    x = 2,546.88/44.57
  6. Step 6: Final answer
    x = 57.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.