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Finding the Fourth Proportional to 96.28, 132.85 and 61.33

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Solution

The fourth proportional to 96.28, 132.85 and 61.33 is: 84.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.28 : 132.85 = 61.33 : x
  2. Step 2: Convert to fraction form
    96.28/132.85 = 61.33/x
  3. Step 3: Cross multiply
    96.28x = 132.85 × 61.33
  4. Step 4: Simplify right side
    96.28x = 8,147.69
  5. Step 5: Solve for x
    x = 8,147.69/96.28
  6. Step 6: Final answer
    x = 84.62

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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.