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Finding the Fourth Proportional to 24.78, 34.14 and 16.14

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Solution

The fourth proportional to 24.78, 34.14 and 16.14 is: 22.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.78 : 34.14 = 16.14 : x
  2. Step 2: Convert to fraction form
    24.78/34.14 = 16.14/x
  3. Step 3: Cross multiply
    24.78x = 34.14 × 16.14
  4. Step 4: Simplify right side
    24.78x = 551.02
  5. Step 5: Solve for x
    x = 551.02/24.78
  6. Step 6: Final answer
    x = 22.24

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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.