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Finding the Fourth Proportional to 81.09, 111.90 and 44.24

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Solution

The fourth proportional to 81.09, 111.90 and 44.24 is: 61.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.09 : 111.90 = 44.24 : x
  2. Step 2: Convert to fraction form
    81.09/111.90 = 44.24/x
  3. Step 3: Cross multiply
    81.09x = 111.90 × 44.24
  4. Step 4: Simplify right side
    81.09x = 4,950.79
  5. Step 5: Solve for x
    x = 4,950.79/81.09
  6. Step 6: Final answer
    x = 61.06

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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.