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Finding the Fourth Proportional to 120.20, 164.76 and 119.66

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Solution

The fourth proportional to 120.20, 164.76 and 119.66 is: 164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.20 : 164.76 = 119.66 : x
  2. Step 2: Convert to fraction form
    120.20/164.76 = 119.66/x
  3. Step 3: Cross multiply
    120.20x = 164.76 × 119.66
  4. Step 4: Simplify right side
    120.20x = 19,713.91
  5. Step 5: Solve for x
    x = 19,713.91/120.20
  6. Step 6: Final answer
    x = 164.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.