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Finding the Fourth Proportional to 119.00, 164.11 and 80.24

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Solution

The fourth proportional to 119.00, 164.11 and 80.24 is: 110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.00 : 164.11 = 80.24 : x
  2. Step 2: Convert to fraction form
    119.00/164.11 = 80.24/x
  3. Step 3: Cross multiply
    119.00x = 164.11 × 80.24
  4. Step 4: Simplify right side
    119.00x = 13,167.17
  5. Step 5: Solve for x
    x = 13,167.17/119.00
  6. Step 6: Final answer
    x = 110.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.