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Finding the Fourth Proportional to 36.94, 50.97 and 24.68

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Solution

The fourth proportional to 36.94, 50.97 and 24.68 is: 34.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.94 : 50.97 = 24.68 : x
  2. Step 2: Convert to fraction form
    36.94/50.97 = 24.68/x
  3. Step 3: Cross multiply
    36.94x = 50.97 × 24.68
  4. Step 4: Simplify right side
    36.94x = 1,257.94
  5. Step 5: Solve for x
    x = 1,257.94/36.94
  6. Step 6: Final answer
    x = 34.05

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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.