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Finding the Fourth Proportional to 50.96, 76.42 and 20.52

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Solution

The fourth proportional to 50.96, 76.42 and 20.52 is: 30.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.96 : 76.42 = 20.52 : x
  2. Step 2: Convert to fraction form
    50.96/76.42 = 20.52/x
  3. Step 3: Cross multiply
    50.96x = 76.42 × 20.52
  4. Step 4: Simplify right side
    50.96x = 1,568.14
  5. Step 5: Solve for x
    x = 1,568.14/50.96
  6. Step 6: Final answer
    x = 30.77

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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.