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Finding the Fourth Proportional to 17.71, 24.29 and 16.17

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Solution

The fourth proportional to 17.71, 24.29 and 16.17 is: 22.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.71 : 24.29 = 16.17 : x
  2. Step 2: Convert to fraction form
    17.71/24.29 = 16.17/x
  3. Step 3: Cross multiply
    17.71x = 24.29 × 16.17
  4. Step 4: Simplify right side
    17.71x = 392.77
  5. Step 5: Solve for x
    x = 392.77/17.71
  6. Step 6: Final answer
    x = 22.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.