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Finding the Fourth Proportional to 95.92, 144.12 and 85.84

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Solution

The fourth proportional to 95.92, 144.12 and 85.84 is: 128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.92 : 144.12 = 85.84 : x
  2. Step 2: Convert to fraction form
    95.92/144.12 = 85.84/x
  3. Step 3: Cross multiply
    95.92x = 144.12 × 85.84
  4. Step 4: Simplify right side
    95.92x = 12,371.26
  5. Step 5: Solve for x
    x = 12,371.26/95.92
  6. Step 6: Final answer
    x = 128.97

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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.