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Finding the Fourth Proportional to 105.67, 158.49 and 82.65

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Solution

The fourth proportional to 105.67, 158.49 and 82.65 is: 123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.67 : 158.49 = 82.65 : x
  2. Step 2: Convert to fraction form
    105.67/158.49 = 82.65/x
  3. Step 3: Cross multiply
    105.67x = 158.49 × 82.65
  4. Step 4: Simplify right side
    105.67x = 13,099.79
  5. Step 5: Solve for x
    x = 13,099.79/105.67
  6. Step 6: Final answer
    x = 123.97

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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.