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Finding the Fourth Proportional to 167.64, 231.27 and 105.38

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Solution

The fourth proportional to 167.64, 231.27 and 105.38 is: 145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.64 : 231.27 = 105.38 : x
  2. Step 2: Convert to fraction form
    167.64/231.27 = 105.38/x
  3. Step 3: Cross multiply
    167.64x = 231.27 × 105.38
  4. Step 4: Simplify right side
    167.64x = 24,370.08
  5. Step 5: Solve for x
    x = 24,370.08/167.64
  6. Step 6: Final answer
    x = 145.37

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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.