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Finding the Fourth Proportional to 36.57, 54.82 and 13.73

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Solution

The fourth proportional to 36.57, 54.82 and 13.73 is: 20.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.57 : 54.82 = 13.73 : x
  2. Step 2: Convert to fraction form
    36.57/54.82 = 13.73/x
  3. Step 3: Cross multiply
    36.57x = 54.82 × 13.73
  4. Step 4: Simplify right side
    36.57x = 752.85
  5. Step 5: Solve for x
    x = 752.85/36.57
  6. Step 6: Final answer
    x = 20.58

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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.