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Finding the Fourth Proportional to 96.53, 133.24 and 63.83

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Solution

The fourth proportional to 96.53, 133.24 and 63.83 is: 88.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.53 : 133.24 = 63.83 : x
  2. Step 2: Convert to fraction form
    96.53/133.24 = 63.83/x
  3. Step 3: Cross multiply
    96.53x = 133.24 × 63.83
  4. Step 4: Simplify right side
    96.53x = 8,504.88
  5. Step 5: Solve for x
    x = 8,504.88/96.53
  6. Step 6: Final answer
    x = 88.10

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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.