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Finding the Fourth Proportional to 54.05, 81.01 and 50.20

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Solution

The fourth proportional to 54.05, 81.01 and 50.20 is: 75.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.05 : 81.01 = 50.20 : x
  2. Step 2: Convert to fraction form
    54.05/81.01 = 50.20/x
  3. Step 3: Cross multiply
    54.05x = 81.01 × 50.20
  4. Step 4: Simplify right side
    54.05x = 4,066.56
  5. Step 5: Solve for x
    x = 4,066.56/54.05
  6. Step 6: Final answer
    x = 75.24

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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.