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Finding the Fourth Proportional to 167.24, 230.80 and 101.74

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Solution

The fourth proportional to 167.24, 230.80 and 101.74 is: 140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.24 : 230.80 = 101.74 : x
  2. Step 2: Convert to fraction form
    167.24/230.80 = 101.74/x
  3. Step 3: Cross multiply
    167.24x = 230.80 × 101.74
  4. Step 4: Simplify right side
    167.24x = 23,481.59
  5. Step 5: Solve for x
    x = 23,481.59/167.24
  6. Step 6: Final answer
    x = 140.41

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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.