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Finding the Fourth Proportional to 167.92, 231.64 and 105.71

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Solution

The fourth proportional to 167.92, 231.64 and 105.71 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.92 : 231.64 = 105.71 : x
  2. Step 2: Convert to fraction form
    167.92/231.64 = 105.71/x
  3. Step 3: Cross multiply
    167.92x = 231.64 × 105.71
  4. Step 4: Simplify right side
    167.92x = 24,485.24
  5. Step 5: Solve for x
    x = 24,485.24/167.92
  6. Step 6: Final answer
    x = 145.82

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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.