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Finding the Fourth Proportional to 25.97, 38.78 and 21.92

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Solution

The fourth proportional to 25.97, 38.78 and 21.92 is: 32.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.97 : 38.78 = 21.92 : x
  2. Step 2: Convert to fraction form
    25.97/38.78 = 21.92/x
  3. Step 3: Cross multiply
    25.97x = 38.78 × 21.92
  4. Step 4: Simplify right side
    25.97x = 849.75
  5. Step 5: Solve for x
    x = 849.75/25.97
  6. Step 6: Final answer
    x = 32.73

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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.