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Finding the Fourth Proportional to 169.89, 234.33 and 117.43

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Solution

The fourth proportional to 169.89, 234.33 and 117.43 is: 161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.89 : 234.33 = 117.43 : x
  2. Step 2: Convert to fraction form
    169.89/234.33 = 117.43/x
  3. Step 3: Cross multiply
    169.89x = 234.33 × 117.43
  4. Step 4: Simplify right side
    169.89x = 27,516.78
  5. Step 5: Solve for x
    x = 27,516.78/169.89
  6. Step 6: Final answer
    x = 161.97

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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.