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Finding the Fourth Proportional to 133.87, 200.83 and 76.12

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Solution

The fourth proportional to 133.87, 200.83 and 76.12 is: 114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.87 : 200.83 = 76.12 : x
  2. Step 2: Convert to fraction form
    133.87/200.83 = 76.12/x
  3. Step 3: Cross multiply
    133.87x = 200.83 × 76.12
  4. Step 4: Simplify right side
    133.87x = 15,287.27
  5. Step 5: Solve for x
    x = 15,287.27/133.87
  6. Step 6: Final answer
    x = 114.19

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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.