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Finding the Fourth Proportional to 96.69, 144.68 and 86.70

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Solution

The fourth proportional to 96.69, 144.68 and 86.70 is: 129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.69 : 144.68 = 86.70 : x
  2. Step 2: Convert to fraction form
    96.69/144.68 = 86.70/x
  3. Step 3: Cross multiply
    96.69x = 144.68 × 86.70
  4. Step 4: Simplify right side
    96.69x = 12,543.32
  5. Step 5: Solve for x
    x = 12,543.32/96.69
  6. Step 6: Final answer
    x = 129.73

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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.