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Finding the Fourth Proportional to 167.70, 231.38 and 105.60

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Solution

The fourth proportional to 167.70, 231.38 and 105.60 is: 145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.70 : 231.38 = 105.60 : x
  2. Step 2: Convert to fraction form
    167.70/231.38 = 105.60/x
  3. Step 3: Cross multiply
    167.70x = 231.38 × 105.60
  4. Step 4: Simplify right side
    167.70x = 24,433.73
  5. Step 5: Solve for x
    x = 24,433.73/167.70
  6. Step 6: Final answer
    x = 145.70

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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.