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Finding the Fourth Proportional to 96.75, 144.32 and 87.66

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Solution

The fourth proportional to 96.75, 144.32 and 87.66 is: 130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 144.32 = 87.66 : x
  2. Step 2: Convert to fraction form
    96.75/144.32 = 87.66/x
  3. Step 3: Cross multiply
    96.75x = 144.32 × 87.66
  4. Step 4: Simplify right side
    96.75x = 12,650.65
  5. Step 5: Solve for x
    x = 12,650.65/96.75
  6. Step 6: Final answer
    x = 130.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.