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Finding the Fourth Proportional to 96.73, 145.10 and 82.39

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Solution

The fourth proportional to 96.73, 145.10 and 82.39 is: 123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.73 : 145.10 = 82.39 : x
  2. Step 2: Convert to fraction form
    96.73/145.10 = 82.39/x
  3. Step 3: Cross multiply
    96.73x = 145.10 × 82.39
  4. Step 4: Simplify right side
    96.73x = 11,953.65
  5. Step 5: Solve for x
    x = 11,953.65/96.73
  6. Step 6: Final answer
    x = 123.58

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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.