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Finding the Fourth Proportional to 27.62, 38.09 and 17.92

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Solution

The fourth proportional to 27.62, 38.09 and 17.92 is: 24.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.62 : 38.09 = 17.92 : x
  2. Step 2: Convert to fraction form
    27.62/38.09 = 17.92/x
  3. Step 3: Cross multiply
    27.62x = 38.09 × 17.92
  4. Step 4: Simplify right side
    27.62x = 682.57
  5. Step 5: Solve for x
    x = 682.57/27.62
  6. Step 6: Final answer
    x = 24.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.