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Finding the Fourth Proportional to 50.79, 76.14 and 20.37

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Solution

The fourth proportional to 50.79, 76.14 and 20.37 is: 30.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.79 : 76.14 = 20.37 : x
  2. Step 2: Convert to fraction form
    50.79/76.14 = 20.37/x
  3. Step 3: Cross multiply
    50.79x = 76.14 × 20.37
  4. Step 4: Simplify right side
    50.79x = 1,550.97
  5. Step 5: Solve for x
    x = 1,550.97/50.79
  6. Step 6: Final answer
    x = 30.54

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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.