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Finding the Fourth Proportional to 133.14, 199.74 and 51.97

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Solution

The fourth proportional to 133.14, 199.74 and 51.97 is: 77.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.14 : 199.74 = 51.97 : x
  2. Step 2: Convert to fraction form
    133.14/199.74 = 51.97/x
  3. Step 3: Cross multiply
    133.14x = 199.74 × 51.97
  4. Step 4: Simplify right side
    133.14x = 10,380.49
  5. Step 5: Solve for x
    x = 10,380.49/133.14
  6. Step 6: Final answer
    x = 77.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.