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Finding the Fourth Proportional to 167.55, 231.12 and 105.27

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Solution

The fourth proportional to 167.55, 231.12 and 105.27 is: 145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.55 : 231.12 = 105.27 : x
  2. Step 2: Convert to fraction form
    167.55/231.12 = 105.27/x
  3. Step 3: Cross multiply
    167.55x = 231.12 × 105.27
  4. Step 4: Simplify right side
    167.55x = 24,329.14
  5. Step 5: Solve for x
    x = 24,329.14/167.55
  6. Step 6: Final answer
    x = 145.21

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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.