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Finding the Fourth Proportional to 167.82, 231.65 and 105.75

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Solution

The fourth proportional to 167.82, 231.65 and 105.75 is: 145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.82 : 231.65 = 105.75 : x
  2. Step 2: Convert to fraction form
    167.82/231.65 = 105.75/x
  3. Step 3: Cross multiply
    167.82x = 231.65 × 105.75
  4. Step 4: Simplify right side
    167.82x = 24,496.99
  5. Step 5: Solve for x
    x = 24,496.99/167.82
  6. Step 6: Final answer
    x = 145.97

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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.