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Finding the Fourth Proportional to 111.91, 168.84 and 111.61

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Solution

The fourth proportional to 111.91, 168.84 and 111.61 is: 168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.91 : 168.84 = 111.61 : x
  2. Step 2: Convert to fraction form
    111.91/168.84 = 111.61/x
  3. Step 3: Cross multiply
    111.91x = 168.84 × 111.61
  4. Step 4: Simplify right side
    111.91x = 18,844.23
  5. Step 5: Solve for x
    x = 18,844.23/111.91
  6. Step 6: Final answer
    x = 168.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.