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Finding the Fourth Proportional to 37.27, 55.90 and 13.20

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Solution

The fourth proportional to 37.27, 55.90 and 13.20 is: 19.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.27 : 55.90 = 13.20 : x
  2. Step 2: Convert to fraction form
    37.27/55.90 = 13.20/x
  3. Step 3: Cross multiply
    37.27x = 55.90 × 13.20
  4. Step 4: Simplify right side
    37.27x = 738.09
  5. Step 5: Solve for x
    x = 738.09/37.27
  6. Step 6: Final answer
    x = 19.81

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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.