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Finding the Fourth Proportional to 96.62, 144.29 and 86.29

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Solution

The fourth proportional to 96.62, 144.29 and 86.29 is: 128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.62 : 144.29 = 86.29 : x
  2. Step 2: Convert to fraction form
    96.62/144.29 = 86.29/x
  3. Step 3: Cross multiply
    96.62x = 144.29 × 86.29
  4. Step 4: Simplify right side
    96.62x = 12,450.64
  5. Step 5: Solve for x
    x = 12,450.64/96.62
  6. Step 6: Final answer
    x = 128.87

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