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Finding the Fourth Proportional to 123.23, 169.89 and 76.61

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Solution

The fourth proportional to 123.23, 169.89 and 76.61 is: 105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.23 : 169.89 = 76.61 : x
  2. Step 2: Convert to fraction form
    123.23/169.89 = 76.61/x
  3. Step 3: Cross multiply
    123.23x = 169.89 × 76.61
  4. Step 4: Simplify right side
    123.23x = 13,015.27
  5. Step 5: Solve for x
    x = 13,015.27/123.23
  6. Step 6: Final answer
    x = 105.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.