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Finding the Fourth Proportional to 123.05, 169.74 and 83.65

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Solution

The fourth proportional to 123.05, 169.74 and 83.65 is: 115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.05 : 169.74 = 83.65 : x
  2. Step 2: Convert to fraction form
    123.05/169.74 = 83.65/x
  3. Step 3: Cross multiply
    123.05x = 169.74 × 83.65
  4. Step 4: Simplify right side
    123.05x = 14,198.75
  5. Step 5: Solve for x
    x = 14,198.75/123.05
  6. Step 6: Final answer
    x = 115.39

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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.