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Finding the Fourth Proportional to 167.60, 230.96 and 126.08

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Solution

The fourth proportional to 167.60, 230.96 and 126.08 is: 173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.60 : 230.96 = 126.08 : x
  2. Step 2: Convert to fraction form
    167.60/230.96 = 126.08/x
  3. Step 3: Cross multiply
    167.60x = 230.96 × 126.08
  4. Step 4: Simplify right side
    167.60x = 29,119.44
  5. Step 5: Solve for x
    x = 29,119.44/167.60
  6. Step 6: Final answer
    x = 173.74

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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.