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Finding the Fourth Proportional to 167.84, 231.68 and 112.56

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Solution

The fourth proportional to 167.84, 231.68 and 112.56 is: 155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.84 : 231.68 = 112.56 : x
  2. Step 2: Convert to fraction form
    167.84/231.68 = 112.56/x
  3. Step 3: Cross multiply
    167.84x = 231.68 × 112.56
  4. Step 4: Simplify right side
    167.84x = 26,077.31
  5. Step 5: Solve for x
    x = 26,077.31/167.84
  6. Step 6: Final answer
    x = 155.37

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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.