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Finding the Fourth Proportional to 133.10, 199.49 and 51.92

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Solution

The fourth proportional to 133.10, 199.49 and 51.92 is: 77.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.10 : 199.49 = 51.92 : x
  2. Step 2: Convert to fraction form
    133.10/199.49 = 51.92/x
  3. Step 3: Cross multiply
    133.10x = 199.49 × 51.92
  4. Step 4: Simplify right side
    133.10x = 10,356.52
  5. Step 5: Solve for x
    x = 10,356.52/133.10
  6. Step 6: Final answer
    x = 77.81

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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.