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Finding the Fourth Proportional to 25.82, 38.74 and 13.82

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Solution

The fourth proportional to 25.82, 38.74 and 13.82 is: 20.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.82 : 38.74 = 13.82 : x
  2. Step 2: Convert to fraction form
    25.82/38.74 = 13.82/x
  3. Step 3: Cross multiply
    25.82x = 38.74 × 13.82
  4. Step 4: Simplify right side
    25.82x = 535.39
  5. Step 5: Solve for x
    x = 535.39/25.82
  6. Step 6: Final answer
    x = 20.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.