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Finding the Fourth Proportional to 96.28, 132.77 and 63.54

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Solution

The fourth proportional to 96.28, 132.77 and 63.54 is: 87.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.28 : 132.77 = 63.54 : x
  2. Step 2: Convert to fraction form
    96.28/132.77 = 63.54/x
  3. Step 3: Cross multiply
    96.28x = 132.77 × 63.54
  4. Step 4: Simplify right side
    96.28x = 8,436.36
  5. Step 5: Solve for x
    x = 8,436.36/96.28
  6. Step 6: Final answer
    x = 87.63

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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.