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Finding the Fourth Proportional to 37.67, 56.49 and 12.62

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Solution

The fourth proportional to 37.67, 56.49 and 12.62 is: 18.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.67 : 56.49 = 12.62 : x
  2. Step 2: Convert to fraction form
    37.67/56.49 = 12.62/x
  3. Step 3: Cross multiply
    37.67x = 56.49 × 12.62
  4. Step 4: Simplify right side
    37.67x = 712.62
  5. Step 5: Solve for x
    x = 712.62/37.67
  6. Step 6: Final answer
    x = 18.92

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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.