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Finding the Fourth Proportional to 103.10, 154.82 and 80.44

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Solution

The fourth proportional to 103.10, 154.82 and 80.44 is: 120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.10 : 154.82 = 80.44 : x
  2. Step 2: Convert to fraction form
    103.10/154.82 = 80.44/x
  3. Step 3: Cross multiply
    103.10x = 154.82 × 80.44
  4. Step 4: Simplify right side
    103.10x = 12,453.72
  5. Step 5: Solve for x
    x = 12,453.72/103.10
  6. Step 6: Final answer
    x = 120.79

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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.