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Finding the Fourth Proportional to 36.59, 50.42 and 27.37

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Solution

The fourth proportional to 36.59, 50.42 and 27.37 is: 37.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.59 : 50.42 = 27.37 : x
  2. Step 2: Convert to fraction form
    36.59/50.42 = 27.37/x
  3. Step 3: Cross multiply
    36.59x = 50.42 × 27.37
  4. Step 4: Simplify right side
    36.59x = 1,380.00
  5. Step 5: Solve for x
    x = 1,380.00/36.59
  6. Step 6: Final answer
    x = 37.72

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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.