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Finding the Fourth Proportional to 36.96, 50.92 and 35.14

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Solution

The fourth proportional to 36.96, 50.92 and 35.14 is: 48.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.96 : 50.92 = 35.14 : x
  2. Step 2: Convert to fraction form
    36.96/50.92 = 35.14/x
  3. Step 3: Cross multiply
    36.96x = 50.92 × 35.14
  4. Step 4: Simplify right side
    36.96x = 1,789.33
  5. Step 5: Solve for x
    x = 1,789.33/36.96
  6. Step 6: Final answer
    x = 48.41

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