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Finding the Fourth Proportional to 109.44, 164.22 and 44.47

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Solution

The fourth proportional to 109.44, 164.22 and 44.47 is: 66.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.44 : 164.22 = 44.47 : x
  2. Step 2: Convert to fraction form
    109.44/164.22 = 44.47/x
  3. Step 3: Cross multiply
    109.44x = 164.22 × 44.47
  4. Step 4: Simplify right side
    109.44x = 7,302.90
  5. Step 5: Solve for x
    x = 7,302.90/109.44
  6. Step 6: Final answer
    x = 66.73

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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.