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Finding the Fourth Proportional to 17.71, 24.49 and 16.91

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Solution

The fourth proportional to 17.71, 24.49 and 16.91 is: 23.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.71 : 24.49 = 16.91 : x
  2. Step 2: Convert to fraction form
    17.71/24.49 = 16.91/x
  3. Step 3: Cross multiply
    17.71x = 24.49 × 16.91
  4. Step 4: Simplify right side
    17.71x = 414.05
  5. Step 5: Solve for x
    x = 414.05/17.71
  6. Step 6: Final answer
    x = 23.38

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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.