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Finding the Fourth Proportional to 133.86, 199.84 and 109.83

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Solution

The fourth proportional to 133.86, 199.84 and 109.83 is: 163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.86 : 199.84 = 109.83 : x
  2. Step 2: Convert to fraction form
    133.86/199.84 = 109.83/x
  3. Step 3: Cross multiply
    133.86x = 199.84 × 109.83
  4. Step 4: Simplify right side
    133.86x = 21,948.15
  5. Step 5: Solve for x
    x = 21,948.15/133.86
  6. Step 6: Final answer
    x = 163.96

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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.