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Finding the Fourth Proportional to 167.39, 230.96 and 105.20

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Solution

The fourth proportional to 167.39, 230.96 and 105.20 is: 145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.39 : 230.96 = 105.20 : x
  2. Step 2: Convert to fraction form
    167.39/230.96 = 105.20/x
  3. Step 3: Cross multiply
    167.39x = 230.96 × 105.20
  4. Step 4: Simplify right side
    167.39x = 24,296.99
  5. Step 5: Solve for x
    x = 24,296.99/167.39
  6. Step 6: Final answer
    x = 145.15

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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.