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Finding the Fourth Proportional to 109.82, 164.62 and 44.78

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Solution

The fourth proportional to 109.82, 164.62 and 44.78 is: 67.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 164.62 = 44.78 : x
  2. Step 2: Convert to fraction form
    109.82/164.62 = 44.78/x
  3. Step 3: Cross multiply
    109.82x = 164.62 × 44.78
  4. Step 4: Simplify right side
    109.82x = 7,371.68
  5. Step 5: Solve for x
    x = 7,371.68/109.82
  6. Step 6: Final answer
    x = 67.13

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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.