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Finding the Fourth Proportional to 96.15, 132.62 and 83.82

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Solution

The fourth proportional to 96.15, 132.62 and 83.82 is: 115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.15 : 132.62 = 83.82 : x
  2. Step 2: Convert to fraction form
    96.15/132.62 = 83.82/x
  3. Step 3: Cross multiply
    96.15x = 132.62 × 83.82
  4. Step 4: Simplify right side
    96.15x = 11,115.79
  5. Step 5: Solve for x
    x = 11,115.79/96.15
  6. Step 6: Final answer
    x = 115.61

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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.