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Finding the Fourth Proportional to 37.97, 56.96 and 13.93

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Solution

The fourth proportional to 37.97, 56.96 and 13.93 is: 20.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.97 : 56.96 = 13.93 : x
  2. Step 2: Convert to fraction form
    37.97/56.96 = 13.93/x
  3. Step 3: Cross multiply
    37.97x = 56.96 × 13.93
  4. Step 4: Simplify right side
    37.97x = 793.29
  5. Step 5: Solve for x
    x = 793.29/37.97
  6. Step 6: Final answer
    x = 20.89

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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.