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Finding the Fourth Proportional to 24.75, 34.17 and 16.14

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Solution

The fourth proportional to 24.75, 34.17 and 16.14 is: 22.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 34.17 = 16.14 : x
  2. Step 2: Convert to fraction form
    24.75/34.17 = 16.14/x
  3. Step 3: Cross multiply
    24.75x = 34.17 × 16.14
  4. Step 4: Simplify right side
    24.75x = 551.50
  5. Step 5: Solve for x
    x = 551.50/24.75
  6. Step 6: Final answer
    x = 22.28

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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.