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Finding the Fourth Proportional to 96.12, 144.05 and 75.87

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Solution

The fourth proportional to 96.12, 144.05 and 75.87 is: 113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.12 : 144.05 = 75.87 : x
  2. Step 2: Convert to fraction form
    96.12/144.05 = 75.87/x
  3. Step 3: Cross multiply
    96.12x = 144.05 × 75.87
  4. Step 4: Simplify right side
    96.12x = 10,928.69
  5. Step 5: Solve for x
    x = 10,928.69/96.12
  6. Step 6: Final answer
    x = 113.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.