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Finding the Fourth Proportional to 27.97, 41.97 and 17.82

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Solution

The fourth proportional to 27.97, 41.97 and 17.82 is: 26.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.97 : 41.97 = 17.82 : x
  2. Step 2: Convert to fraction form
    27.97/41.97 = 17.82/x
  3. Step 3: Cross multiply
    27.97x = 41.97 × 17.82
  4. Step 4: Simplify right side
    27.97x = 747.91
  5. Step 5: Solve for x
    x = 747.91/27.97
  6. Step 6: Final answer
    x = 26.74

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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.