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Finding the Fourth Proportional to 96.39, 133.08 and 61.44

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Solution

The fourth proportional to 96.39, 133.08 and 61.44 is: 84.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.39 : 133.08 = 61.44 : x
  2. Step 2: Convert to fraction form
    96.39/133.08 = 61.44/x
  3. Step 3: Cross multiply
    96.39x = 133.08 × 61.44
  4. Step 4: Simplify right side
    96.39x = 8,176.44
  5. Step 5: Solve for x
    x = 8,176.44/96.39
  6. Step 6: Final answer
    x = 84.83

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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.