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Finding the Fourth Proportional to 96.63, 133.20 and 63.82

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Solution

The fourth proportional to 96.63, 133.20 and 63.82 is: 87.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.63 : 133.20 = 63.82 : x
  2. Step 2: Convert to fraction form
    96.63/133.20 = 63.82/x
  3. Step 3: Cross multiply
    96.63x = 133.20 × 63.82
  4. Step 4: Simplify right side
    96.63x = 8,500.82
  5. Step 5: Solve for x
    x = 8,500.82/96.63
  6. Step 6: Final answer
    x = 87.97

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