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Finding the Fourth Proportional to 36.06, 53.94 and 24.06

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Solution

The fourth proportional to 36.06, 53.94 and 24.06 is: 35.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.06 : 53.94 = 24.06 : x
  2. Step 2: Convert to fraction form
    36.06/53.94 = 24.06/x
  3. Step 3: Cross multiply
    36.06x = 53.94 × 24.06
  4. Step 4: Simplify right side
    36.06x = 1,297.80
  5. Step 5: Solve for x
    x = 1,297.80/36.06
  6. Step 6: Final answer
    x = 35.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.