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Finding the Fourth Proportional to 169.85, 234.31 and 107.65

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Solution

The fourth proportional to 169.85, 234.31 and 107.65 is: 148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.85 : 234.31 = 107.65 : x
  2. Step 2: Convert to fraction form
    169.85/234.31 = 107.65/x
  3. Step 3: Cross multiply
    169.85x = 234.31 × 107.65
  4. Step 4: Simplify right side
    169.85x = 25,223.47
  5. Step 5: Solve for x
    x = 25,223.47/169.85
  6. Step 6: Final answer
    x = 148.50

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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.