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Finding the Fourth Proportional to 167.45, 230.54 and 125.96

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Solution

The fourth proportional to 167.45, 230.54 and 125.96 is: 173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.45 : 230.54 = 125.96 : x
  2. Step 2: Convert to fraction form
    167.45/230.54 = 125.96/x
  3. Step 3: Cross multiply
    167.45x = 230.54 × 125.96
  4. Step 4: Simplify right side
    167.45x = 29,037.04
  5. Step 5: Solve for x
    x = 29,037.04/167.45
  6. Step 6: Final answer
    x = 173.41

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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.