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Finding the Fourth Proportional to 24.82, 37.10 and 17.92

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Solution

The fourth proportional to 24.82, 37.10 and 17.92 is: 26.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.82 : 37.10 = 17.92 : x
  2. Step 2: Convert to fraction form
    24.82/37.10 = 17.92/x
  3. Step 3: Cross multiply
    24.82x = 37.10 × 17.92
  4. Step 4: Simplify right side
    24.82x = 664.83
  5. Step 5: Solve for x
    x = 664.83/24.82
  6. Step 6: Final answer
    x = 26.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.