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Finding the Fourth Proportional to 17.48, 24.17 and 16.49

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Solution

The fourth proportional to 17.48, 24.17 and 16.49 is: 22.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.48 : 24.17 = 16.49 : x
  2. Step 2: Convert to fraction form
    17.48/24.17 = 16.49/x
  3. Step 3: Cross multiply
    17.48x = 24.17 × 16.49
  4. Step 4: Simplify right side
    17.48x = 398.36
  5. Step 5: Solve for x
    x = 398.36/17.48
  6. Step 6: Final answer
    x = 22.80

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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.