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Finding the Fourth Proportional to 27.66, 38.17 and 16.74

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Solution

The fourth proportional to 27.66, 38.17 and 16.74 is: 23.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.66 : 38.17 = 16.74 : x
  2. Step 2: Convert to fraction form
    27.66/38.17 = 16.74/x
  3. Step 3: Cross multiply
    27.66x = 38.17 × 16.74
  4. Step 4: Simplify right side
    27.66x = 638.97
  5. Step 5: Solve for x
    x = 638.97/27.66
  6. Step 6: Final answer
    x = 23.10

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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.