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Finding the Fourth Proportional to 27.48, 41.16 and 13.75

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Solution

The fourth proportional to 27.48, 41.16 and 13.75 is: 20.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.48 : 41.16 = 13.75 : x
  2. Step 2: Convert to fraction form
    27.48/41.16 = 13.75/x
  3. Step 3: Cross multiply
    27.48x = 41.16 × 13.75
  4. Step 4: Simplify right side
    27.48x = 565.85
  5. Step 5: Solve for x
    x = 565.85/27.48
  6. Step 6: Final answer
    x = 20.59

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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.