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Finding the Fourth Proportional to 96.57, 144.01 and 89.09

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Solution

The fourth proportional to 96.57, 144.01 and 89.09 is: 132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.57 : 144.01 = 89.09 : x
  2. Step 2: Convert to fraction form
    96.57/144.01 = 89.09/x
  3. Step 3: Cross multiply
    96.57x = 144.01 × 89.09
  4. Step 4: Simplify right side
    96.57x = 12,829.85
  5. Step 5: Solve for x
    x = 12,829.85/96.57
  6. Step 6: Final answer
    x = 132.86

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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.