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Finding the Fourth Proportional to 118.96, 163.92 and 103.36

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Solution

The fourth proportional to 118.96, 163.92 and 103.36 is: 142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.96 : 163.92 = 103.36 : x
  2. Step 2: Convert to fraction form
    118.96/163.92 = 103.36/x
  3. Step 3: Cross multiply
    118.96x = 163.92 × 103.36
  4. Step 4: Simplify right side
    118.96x = 16,942.77
  5. Step 5: Solve for x
    x = 16,942.77/118.96
  6. Step 6: Final answer
    x = 142.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.