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Finding the Fourth Proportional to 133.36, 199.63 and 113.92

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Solution

The fourth proportional to 133.36, 199.63 and 113.92 is: 170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.36 : 199.63 = 113.92 : x
  2. Step 2: Convert to fraction form
    133.36/199.63 = 113.92/x
  3. Step 3: Cross multiply
    133.36x = 199.63 × 113.92
  4. Step 4: Simplify right side
    133.36x = 22,741.85
  5. Step 5: Solve for x
    x = 22,741.85/133.36
  6. Step 6: Final answer
    x = 170.53

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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.