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Finding the Fourth Proportional to 133.44, 199.68 and 112.96

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Solution

The fourth proportional to 133.44, 199.68 and 112.96 is: 169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.44 : 199.68 = 112.96 : x
  2. Step 2: Convert to fraction form
    133.44/199.68 = 112.96/x
  3. Step 3: Cross multiply
    133.44x = 199.68 × 112.96
  4. Step 4: Simplify right side
    133.44x = 22,555.85
  5. Step 5: Solve for x
    x = 22,555.85/133.44
  6. Step 6: Final answer
    x = 169.03

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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.