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Finding the Fourth Proportional to 119.43, 164.85 and 80.64

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Solution

The fourth proportional to 119.43, 164.85 and 80.64 is: 111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.43 : 164.85 = 80.64 : x
  2. Step 2: Convert to fraction form
    119.43/164.85 = 80.64/x
  3. Step 3: Cross multiply
    119.43x = 164.85 × 80.64
  4. Step 4: Simplify right side
    119.43x = 13,293.50
  5. Step 5: Solve for x
    x = 13,293.50/119.43
  6. Step 6: Final answer
    x = 111.31

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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.