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Finding the Fourth Proportional to 112.10, 167.89 and 75.92

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Solution

The fourth proportional to 112.10, 167.89 and 75.92 is: 113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.10 : 167.89 = 75.92 : x
  2. Step 2: Convert to fraction form
    112.10/167.89 = 75.92/x
  3. Step 3: Cross multiply
    112.10x = 167.89 × 75.92
  4. Step 4: Simplify right side
    112.10x = 12,746.25
  5. Step 5: Solve for x
    x = 12,746.25/112.10
  6. Step 6: Final answer
    x = 113.70

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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.