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Finding the Fourth Proportional to 24.82, 34.31 and 19.96

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Solution

The fourth proportional to 24.82, 34.31 and 19.96 is: 27.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.82 : 34.31 = 19.96 : x
  2. Step 2: Convert to fraction form
    24.82/34.31 = 19.96/x
  3. Step 3: Cross multiply
    24.82x = 34.31 × 19.96
  4. Step 4: Simplify right side
    24.82x = 684.56
  5. Step 5: Solve for x
    x = 684.56/24.82
  6. Step 6: Final answer
    x = 27.59

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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.