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Finding the Fourth Proportional to 25.38, 34.82 and 22.66

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Solution

The fourth proportional to 25.38, 34.82 and 22.66 is: 31.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.38 : 34.82 = 22.66 : x
  2. Step 2: Convert to fraction form
    25.38/34.82 = 22.66/x
  3. Step 3: Cross multiply
    25.38x = 34.82 × 22.66
  4. Step 4: Simplify right side
    25.38x = 789.02
  5. Step 5: Solve for x
    x = 789.02/25.38
  6. Step 6: Final answer
    x = 31.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.