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Finding the Fourth Proportional to 37.54, 56.31 and 13.49

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Solution

The fourth proportional to 37.54, 56.31 and 13.49 is: 20.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.54 : 56.31 = 13.49 : x
  2. Step 2: Convert to fraction form
    37.54/56.31 = 13.49/x
  3. Step 3: Cross multiply
    37.54x = 56.31 × 13.49
  4. Step 4: Simplify right side
    37.54x = 759.62
  5. Step 5: Solve for x
    x = 759.62/37.54
  6. Step 6: Final answer
    x = 20.24

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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.