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Finding the Fourth Proportional to 50.14, 69.23 and 36.37

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Solution

The fourth proportional to 50.14, 69.23 and 36.37 is: 50.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.14 : 69.23 = 36.37 : x
  2. Step 2: Convert to fraction form
    50.14/69.23 = 36.37/x
  3. Step 3: Cross multiply
    50.14x = 69.23 × 36.37
  4. Step 4: Simplify right side
    50.14x = 2,517.90
  5. Step 5: Solve for x
    x = 2,517.90/50.14
  6. Step 6: Final answer
    x = 50.22

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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.