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Finding the Fourth Proportional to 112.03, 167.86 and 75.39

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Solution

The fourth proportional to 112.03, 167.86 and 75.39 is: 112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.03 : 167.86 = 75.39 : x
  2. Step 2: Convert to fraction form
    112.03/167.86 = 75.39/x
  3. Step 3: Cross multiply
    112.03x = 167.86 × 75.39
  4. Step 4: Simplify right side
    112.03x = 12,654.97
  5. Step 5: Solve for x
    x = 12,654.97/112.03
  6. Step 6: Final answer
    x = 112.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.