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Finding the Fourth Proportional to 96.20, 132.78 and 57.44

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Solution

The fourth proportional to 96.20, 132.78 and 57.44 is: 79.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.20 : 132.78 = 57.44 : x
  2. Step 2: Convert to fraction form
    96.20/132.78 = 57.44/x
  3. Step 3: Cross multiply
    96.20x = 132.78 × 57.44
  4. Step 4: Simplify right side
    96.20x = 7,626.88
  5. Step 5: Solve for x
    x = 7,626.88/96.20
  6. Step 6: Final answer
    x = 79.28

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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.