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Finding the Fourth Proportional to 112.08, 167.92 and 75.88

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Solution

The fourth proportional to 112.08, 167.92 and 75.88 is: 113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.08 : 167.92 = 75.88 : x
  2. Step 2: Convert to fraction form
    112.08/167.92 = 75.88/x
  3. Step 3: Cross multiply
    112.08x = 167.92 × 75.88
  4. Step 4: Simplify right side
    112.08x = 12,741.77
  5. Step 5: Solve for x
    x = 12,741.77/112.08
  6. Step 6: Final answer
    x = 113.68

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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.