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Finding the Fourth Proportional to 120.44, 181.22 and 109.24

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Solution

The fourth proportional to 120.44, 181.22 and 109.24 is: 164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.44 : 181.22 = 109.24 : x
  2. Step 2: Convert to fraction form
    120.44/181.22 = 109.24/x
  3. Step 3: Cross multiply
    120.44x = 181.22 × 109.24
  4. Step 4: Simplify right side
    120.44x = 19,796.47
  5. Step 5: Solve for x
    x = 19,796.47/120.44
  6. Step 6: Final answer
    x = 164.37

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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.