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Finding the Fourth Proportional to 167.24, 230.81 and 96.34

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Solution

The fourth proportional to 167.24, 230.81 and 96.34 is: 132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.24 : 230.81 = 96.34 : x
  2. Step 2: Convert to fraction form
    167.24/230.81 = 96.34/x
  3. Step 3: Cross multiply
    167.24x = 230.81 × 96.34
  4. Step 4: Simplify right side
    167.24x = 22,236.24
  5. Step 5: Solve for x
    x = 22,236.24/167.24
  6. Step 6: Final answer
    x = 132.96

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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.