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Finding the Fourth Proportional to 167.43, 231.05 and 91.72

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Solution

The fourth proportional to 167.43, 231.05 and 91.72 is: 126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.43 : 231.05 = 91.72 : x
  2. Step 2: Convert to fraction form
    167.43/231.05 = 91.72/x
  3. Step 3: Cross multiply
    167.43x = 231.05 × 91.72
  4. Step 4: Simplify right side
    167.43x = 21,191.45
  5. Step 5: Solve for x
    x = 21,191.45/167.43
  6. Step 6: Final answer
    x = 126.57

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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.