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Finding the Fourth Proportional to 25.82, 38.92 and 24.52

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Solution

The fourth proportional to 25.82, 38.92 and 24.52 is: 36.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.82 : 38.92 = 24.52 : x
  2. Step 2: Convert to fraction form
    25.82/38.92 = 24.52/x
  3. Step 3: Cross multiply
    25.82x = 38.92 × 24.52
  4. Step 4: Simplify right side
    25.82x = 954.20
  5. Step 5: Solve for x
    x = 954.20/25.82
  6. Step 6: Final answer
    x = 36.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.