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Finding the Fourth Proportional to 36.71, 55 and 27.07

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Solution

The fourth proportional to 36.71, 55 and 27.07 is: 40.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.71 : 55 = 27.07 : x
  2. Step 2: Convert to fraction form
    36.71/55 = 27.07/x
  3. Step 3: Cross multiply
    36.71x = 55 × 27.07
  4. Step 4: Simplify right side
    36.71x = 1,488.85
  5. Step 5: Solve for x
    x = 1,488.85/36.71
  6. Step 6: Final answer
    x = 40.56

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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.