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Finding the Fourth Proportional to 169.91, 234.19 and 120.70

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Solution

The fourth proportional to 169.91, 234.19 and 120.70 is: 166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.91 : 234.19 = 120.70 : x
  2. Step 2: Convert to fraction form
    169.91/234.19 = 120.70/x
  3. Step 3: Cross multiply
    169.91x = 234.19 × 120.70
  4. Step 4: Simplify right side
    169.91x = 28,266.73
  5. Step 5: Solve for x
    x = 28,266.73/169.91
  6. Step 6: Final answer
    x = 166.36

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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.