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Finding the Fourth Proportional to 167.80, 231.57 and 105.60

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Solution

The fourth proportional to 167.80, 231.57 and 105.60 is: 145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.80 : 231.57 = 105.60 : x
  2. Step 2: Convert to fraction form
    167.80/231.57 = 105.60/x
  3. Step 3: Cross multiply
    167.80x = 231.57 × 105.60
  4. Step 4: Simplify right side
    167.80x = 24,453.79
  5. Step 5: Solve for x
    x = 24,453.79/167.80
  6. Step 6: Final answer
    x = 145.73

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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.