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Finding the Fourth Proportional to 167.63, 231.32 and 112.28

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Solution

The fourth proportional to 167.63, 231.32 and 112.28 is: 154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.63 : 231.32 = 112.28 : x
  2. Step 2: Convert to fraction form
    167.63/231.32 = 112.28/x
  3. Step 3: Cross multiply
    167.63x = 231.32 × 112.28
  4. Step 4: Simplify right side
    167.63x = 25,971.73
  5. Step 5: Solve for x
    x = 25,971.73/167.63
  6. Step 6: Final answer
    x = 154.94

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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.