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Finding the Fourth Proportional to 167.85, 231.56 and 105.65

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Solution

The fourth proportional to 167.85, 231.56 and 105.65 is: 145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.85 : 231.56 = 105.65 : x
  2. Step 2: Convert to fraction form
    167.85/231.56 = 105.65/x
  3. Step 3: Cross multiply
    167.85x = 231.56 × 105.65
  4. Step 4: Simplify right side
    167.85x = 24,463.79
  5. Step 5: Solve for x
    x = 24,463.79/167.85
  6. Step 6: Final answer
    x = 145.75

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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.