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Finding the Fourth Proportional to 50.07, 69.09 and 28.24

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Solution

The fourth proportional to 50.07, 69.09 and 28.24 is: 38.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.07 : 69.09 = 28.24 : x
  2. Step 2: Convert to fraction form
    50.07/69.09 = 28.24/x
  3. Step 3: Cross multiply
    50.07x = 69.09 × 28.24
  4. Step 4: Simplify right side
    50.07x = 1,951.10
  5. Step 5: Solve for x
    x = 1,951.10/50.07
  6. Step 6: Final answer
    x = 38.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.