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Finding the Fourth Proportional to 167.67, 231.32 and 105.47

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Solution

The fourth proportional to 167.67, 231.32 and 105.47 is: 145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.67 : 231.32 = 105.47 : x
  2. Step 2: Convert to fraction form
    167.67/231.32 = 105.47/x
  3. Step 3: Cross multiply
    167.67x = 231.32 × 105.47
  4. Step 4: Simplify right side
    167.67x = 24,397.37
  5. Step 5: Solve for x
    x = 24,397.37/167.67
  6. Step 6: Final answer
    x = 145.51

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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.