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Finding the Fourth Proportional to 36.11, 53.83 and 34.80

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Solution

The fourth proportional to 36.11, 53.83 and 34.80 is: 51.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.11 : 53.83 = 34.80 : x
  2. Step 2: Convert to fraction form
    36.11/53.83 = 34.80/x
  3. Step 3: Cross multiply
    36.11x = 53.83 × 34.80
  4. Step 4: Simplify right side
    36.11x = 1,873.13
  5. Step 5: Solve for x
    x = 1,873.13/36.11
  6. Step 6: Final answer
    x = 51.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.