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Finding the Fourth Proportional to 36.39, 50.03 and 31.19

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Solution

The fourth proportional to 36.39, 50.03 and 31.19 is: 42.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.39 : 50.03 = 31.19 : x
  2. Step 2: Convert to fraction form
    36.39/50.03 = 31.19/x
  3. Step 3: Cross multiply
    36.39x = 50.03 × 31.19
  4. Step 4: Simplify right side
    36.39x = 1,560.44
  5. Step 5: Solve for x
    x = 1,560.44/36.39
  6. Step 6: Final answer
    x = 42.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.