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Finding the Fourth Proportional to 167.24, 230.81 and 105.09

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Solution

The fourth proportional to 167.24, 230.81 and 105.09 is: 145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.24 : 230.81 = 105.09 : x
  2. Step 2: Convert to fraction form
    167.24/230.81 = 105.09/x
  3. Step 3: Cross multiply
    167.24x = 230.81 × 105.09
  4. Step 4: Simplify right side
    167.24x = 24,255.82
  5. Step 5: Solve for x
    x = 24,255.82/167.24
  6. Step 6: Final answer
    x = 145.04

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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.