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Finding the Fourth Proportional to 112.89, 168.18 and 105.91

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Solution

The fourth proportional to 112.89, 168.18 and 105.91 is: 157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.89 : 168.18 = 105.91 : x
  2. Step 2: Convert to fraction form
    112.89/168.18 = 105.91/x
  3. Step 3: Cross multiply
    112.89x = 168.18 × 105.91
  4. Step 4: Simplify right side
    112.89x = 17,811.94
  5. Step 5: Solve for x
    x = 17,811.94/112.89
  6. Step 6: Final answer
    x = 157.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.