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Finding the Fourth Proportional to 167.42, 230.91 and 105.28

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Solution

The fourth proportional to 167.42, 230.91 and 105.28 is: 145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.42 : 230.91 = 105.28 : x
  2. Step 2: Convert to fraction form
    167.42/230.91 = 105.28/x
  3. Step 3: Cross multiply
    167.42x = 230.91 × 105.28
  4. Step 4: Simplify right side
    167.42x = 24,310.20
  5. Step 5: Solve for x
    x = 24,310.20/167.42
  6. Step 6: Final answer
    x = 145.20

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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.