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Finding the Fourth Proportional to 119.09, 178.24 and 80.48

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Solution

The fourth proportional to 119.09, 178.24 and 80.48 is: 120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.09 : 178.24 = 80.48 : x
  2. Step 2: Convert to fraction form
    119.09/178.24 = 80.48/x
  3. Step 3: Cross multiply
    119.09x = 178.24 × 80.48
  4. Step 4: Simplify right side
    119.09x = 14,344.76
  5. Step 5: Solve for x
    x = 14,344.76/119.09
  6. Step 6: Final answer
    x = 120.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.