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Finding the Fourth Proportional to 111.77, 167.84 and 107.09

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Solution

The fourth proportional to 111.77, 167.84 and 107.09 is: 160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.77 : 167.84 = 107.09 : x
  2. Step 2: Convert to fraction form
    111.77/167.84 = 107.09/x
  3. Step 3: Cross multiply
    111.77x = 167.84 × 107.09
  4. Step 4: Simplify right side
    111.77x = 17,972.61
  5. Step 5: Solve for x
    x = 17,972.61/111.77
  6. Step 6: Final answer
    x = 160.81

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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.