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Finding the Fourth Proportional to 37.62, 56.07 and 37.55

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Solution

The fourth proportional to 37.62, 56.07 and 37.55 is: 55.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.62 : 56.07 = 37.55 : x
  2. Step 2: Convert to fraction form
    37.62/56.07 = 37.55/x
  3. Step 3: Cross multiply
    37.62x = 56.07 × 37.55
  4. Step 4: Simplify right side
    37.62x = 2,105.57
  5. Step 5: Solve for x
    x = 2,105.57/37.62
  6. Step 6: Final answer
    x = 55.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.