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Finding the Fourth Proportional to 96.47, 144.90 and 82.02

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Solution

The fourth proportional to 96.47, 144.90 and 82.02 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.47 : 144.90 = 82.02 : x
  2. Step 2: Convert to fraction form
    96.47/144.90 = 82.02/x
  3. Step 3: Cross multiply
    96.47x = 144.90 × 82.02
  4. Step 4: Simplify right side
    96.47x = 11,884.70
  5. Step 5: Solve for x
    x = 11,884.70/96.47
  6. Step 6: Final answer
    x = 123.20

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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.