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Finding the Fourth Proportional to 36.83, 50.81 and 23.01

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Solution

The fourth proportional to 36.83, 50.81 and 23.01 is: 31.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.83 : 50.81 = 23.01 : x
  2. Step 2: Convert to fraction form
    36.83/50.81 = 23.01/x
  3. Step 3: Cross multiply
    36.83x = 50.81 × 23.01
  4. Step 4: Simplify right side
    36.83x = 1,169.02
  5. Step 5: Solve for x
    x = 1,169.02/36.83
  6. Step 6: Final answer
    x = 31.75

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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.