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Finding the Fourth Proportional to 169.65, 234.16 and 123.14

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Solution

The fourth proportional to 169.65, 234.16 and 123.14 is: 169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.65 : 234.16 = 123.14 : x
  2. Step 2: Convert to fraction form
    169.65/234.16 = 123.14/x
  3. Step 3: Cross multiply
    169.65x = 234.16 × 123.14
  4. Step 4: Simplify right side
    169.65x = 28,834.74
  5. Step 5: Solve for x
    x = 28,834.74/169.65
  6. Step 6: Final answer
    x = 169.97

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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.