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Finding the Fourth Proportional to 96.66, 144.24 and 82.92

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Solution

The fourth proportional to 96.66, 144.24 and 82.92 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.66 : 144.24 = 82.92 : x
  2. Step 2: Convert to fraction form
    96.66/144.24 = 82.92/x
  3. Step 3: Cross multiply
    96.66x = 144.24 × 82.92
  4. Step 4: Simplify right side
    96.66x = 11,960.38
  5. Step 5: Solve for x
    x = 11,960.38/96.66
  6. Step 6: Final answer
    x = 123.74

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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.