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Finding the Fourth Proportional to 44.23, 66.27 and 27.06

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Solution

The fourth proportional to 44.23, 66.27 and 27.06 is: 40.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.23 : 66.27 = 27.06 : x
  2. Step 2: Convert to fraction form
    44.23/66.27 = 27.06/x
  3. Step 3: Cross multiply
    44.23x = 66.27 × 27.06
  4. Step 4: Simplify right side
    44.23x = 1,793.27
  5. Step 5: Solve for x
    x = 1,793.27/44.23
  6. Step 6: Final answer
    x = 40.54

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Why These Related Problems?

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