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Finding the Fourth Proportional to 167.47, 231.08 and 112.37

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Solution

The fourth proportional to 167.47, 231.08 and 112.37 is: 155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.47 : 231.08 = 112.37 : x
  2. Step 2: Convert to fraction form
    167.47/231.08 = 112.37/x
  3. Step 3: Cross multiply
    167.47x = 231.08 × 112.37
  4. Step 4: Simplify right side
    167.47x = 25,964.74
  5. Step 5: Solve for x
    x = 25,964.74/167.47
  6. Step 6: Final answer
    x = 155.04

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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.