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Finding the Fourth Proportional to 50.44, 69.61 and 28.31

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Solution

The fourth proportional to 50.44, 69.61 and 28.31 is: 39.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.44 : 69.61 = 28.31 : x
  2. Step 2: Convert to fraction form
    50.44/69.61 = 28.31/x
  3. Step 3: Cross multiply
    50.44x = 69.61 × 28.31
  4. Step 4: Simplify right side
    50.44x = 1,970.58
  5. Step 5: Solve for x
    x = 1,970.58/50.44
  6. Step 6: Final answer
    x = 39.07

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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.