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Finding the Fourth Proportional to 24.75, 34.16 and 13.83

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Solution

The fourth proportional to 24.75, 34.16 and 13.83 is: 19.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 34.16 = 13.83 : x
  2. Step 2: Convert to fraction form
    24.75/34.16 = 13.83/x
  3. Step 3: Cross multiply
    24.75x = 34.16 × 13.83
  4. Step 4: Simplify right side
    24.75x = 472.52
  5. Step 5: Solve for x
    x = 472.52/24.75
  6. Step 6: Final answer
    x = 19.09

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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.