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Finding the Fourth Proportional to 167.94, 231.75 and 105.75

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Solution

The fourth proportional to 167.94, 231.75 and 105.75 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.94 : 231.75 = 105.75 : x
  2. Step 2: Convert to fraction form
    167.94/231.75 = 105.75/x
  3. Step 3: Cross multiply
    167.94x = 231.75 × 105.75
  4. Step 4: Simplify right side
    167.94x = 24,507.56
  5. Step 5: Solve for x
    x = 24,507.56/167.94
  6. Step 6: Final answer
    x = 145.93

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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.