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Finding the Fourth Proportional to 169.23, 253.97 and 82.61

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Solution

The fourth proportional to 169.23, 253.97 and 82.61 is: 123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.23 : 253.97 = 82.61 : x
  2. Step 2: Convert to fraction form
    169.23/253.97 = 82.61/x
  3. Step 3: Cross multiply
    169.23x = 253.97 × 82.61
  4. Step 4: Simplify right side
    169.23x = 20,979.51
  5. Step 5: Solve for x
    x = 20,979.51/169.23
  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.