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Finding the Fourth Proportional to 167.02, 230.46 and 100.61

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Solution

The fourth proportional to 167.02, 230.46 and 100.61 is: 138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.02 : 230.46 = 100.61 : x
  2. Step 2: Convert to fraction form
    167.02/230.46 = 100.61/x
  3. Step 3: Cross multiply
    167.02x = 230.46 × 100.61
  4. Step 4: Simplify right side
    167.02x = 23,186.58
  5. Step 5: Solve for x
    x = 23,186.58/167.02
  6. Step 6: Final answer
    x = 138.83

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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.