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Finding the Fourth Proportional to 39.74, 54.68 and 36.77

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Solution

The fourth proportional to 39.74, 54.68 and 36.77 is: 50.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.74 : 54.68 = 36.77 : x
  2. Step 2: Convert to fraction form
    39.74/54.68 = 36.77/x
  3. Step 3: Cross multiply
    39.74x = 54.68 × 36.77
  4. Step 4: Simplify right side
    39.74x = 2,010.13
  5. Step 5: Solve for x
    x = 2,010.13/39.74
  6. Step 6: Final answer
    x = 50.59

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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.