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Finding the Fourth Proportional to 27.32, 41.00 and 13.80

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Solution

The fourth proportional to 27.32, 41.00 and 13.80 is: 20.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.32 : 41.00 = 13.80 : x
  2. Step 2: Convert to fraction form
    27.32/41.00 = 13.80/x
  3. Step 3: Cross multiply
    27.32x = 41.00 × 13.80
  4. Step 4: Simplify right side
    27.32x = 565.73
  5. Step 5: Solve for x
    x = 565.73/27.32
  6. Step 6: Final answer
    x = 20.71

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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.