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Finding the Fourth Proportional to 28.32, 38.96 and 25.41

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Solution

The fourth proportional to 28.32, 38.96 and 25.41 is: 34.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.32 : 38.96 = 25.41 : x
  2. Step 2: Convert to fraction form
    28.32/38.96 = 25.41/x
  3. Step 3: Cross multiply
    28.32x = 38.96 × 25.41
  4. Step 4: Simplify right side
    28.32x = 989.85
  5. Step 5: Solve for x
    x = 989.85/28.32
  6. Step 6: Final answer
    x = 34.95

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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.