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Finding the Fourth Proportional to 111.93, 168.22 and 103.77

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Solution

The fourth proportional to 111.93, 168.22 and 103.77 is: 155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.93 : 168.22 = 103.77 : x
  2. Step 2: Convert to fraction form
    111.93/168.22 = 103.77/x
  3. Step 3: Cross multiply
    111.93x = 168.22 × 103.77
  4. Step 4: Simplify right side
    111.93x = 17,456.19
  5. Step 5: Solve for x
    x = 17,456.19/111.93
  6. Step 6: Final answer
    x = 155.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.