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Finding the Fourth Proportional to 25.28, 34.78 and 20.32

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Solution

The fourth proportional to 25.28, 34.78 and 20.32 is: 27.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.28 : 34.78 = 20.32 : x
  2. Step 2: Convert to fraction form
    25.28/34.78 = 20.32/x
  3. Step 3: Cross multiply
    25.28x = 34.78 × 20.32
  4. Step 4: Simplify right side
    25.28x = 706.73
  5. Step 5: Solve for x
    x = 706.73/25.28
  6. Step 6: Final answer
    x = 27.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.