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Finding the Fourth Proportional to 167.12, 230.31 and 120.41

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Solution

The fourth proportional to 167.12, 230.31 and 120.41 is: 165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.12 : 230.31 = 120.41 : x
  2. Step 2: Convert to fraction form
    167.12/230.31 = 120.41/x
  3. Step 3: Cross multiply
    167.12x = 230.31 × 120.41
  4. Step 4: Simplify right side
    167.12x = 27,731.63
  5. Step 5: Solve for x
    x = 27,731.63/167.12
  6. Step 6: Final answer
    x = 165.94

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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.