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Finding the Fourth Proportional to 96.62, 144.54 and 83.26

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Solution

The fourth proportional to 96.62, 144.54 and 83.26 is: 124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.62 : 144.54 = 83.26 : x
  2. Step 2: Convert to fraction form
    96.62/144.54 = 83.26/x
  3. Step 3: Cross multiply
    96.62x = 144.54 × 83.26
  4. Step 4: Simplify right side
    96.62x = 12,034.40
  5. Step 5: Solve for x
    x = 12,034.40/96.62
  6. Step 6: Final answer
    x = 124.55

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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.