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Finding the Fourth Proportional to 32.05, 47.87 and 25.97

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Solution

The fourth proportional to 32.05, 47.87 and 25.97 is: 38.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.05 : 47.87 = 25.97 : x
  2. Step 2: Convert to fraction form
    32.05/47.87 = 25.97/x
  3. Step 3: Cross multiply
    32.05x = 47.87 × 25.97
  4. Step 4: Simplify right side
    32.05x = 1,242.91
  5. Step 5: Solve for x
    x = 1,242.91/32.05
  6. Step 6: Final answer
    x = 38.78

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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.