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Finding the Fourth Proportional to 44.74, 61.75 and 27.27

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Solution

The fourth proportional to 44.74, 61.75 and 27.27 is: 37.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.74 : 61.75 = 27.27 : x
  2. Step 2: Convert to fraction form
    44.74/61.75 = 27.27/x
  3. Step 3: Cross multiply
    44.74x = 61.75 × 27.27
  4. Step 4: Simplify right side
    44.74x = 1,683.62
  5. Step 5: Solve for x
    x = 1,683.62/44.74
  6. Step 6: Final answer
    x = 37.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.