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Finding the Fourth Proportional to 24.75, 34.09 and 21.83

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Solution

The fourth proportional to 24.75, 34.09 and 21.83 is: 30.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 34.09 = 21.83 : x
  2. Step 2: Convert to fraction form
    24.75/34.09 = 21.83/x
  3. Step 3: Cross multiply
    24.75x = 34.09 × 21.83
  4. Step 4: Simplify right side
    24.75x = 743.96
  5. Step 5: Solve for x
    x = 743.96/24.75
  6. Step 6: Final answer
    x = 30.06

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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.