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Finding the Fourth Proportional to 80.40, 120.12 and 70

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Solution

The fourth proportional to 80.40, 120.12 and 70 is: 104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.40 : 120.12 = 70 : x
  2. Step 2: Convert to fraction form
    80.40/120.12 = 70/x
  3. Step 3: Cross multiply
    80.40x = 120.12 × 70
  4. Step 4: Simplify right side
    80.40x = 8,408.40
  5. Step 5: Solve for x
    x = 8,408.40/80.40
  6. Step 6: Final answer
    x = 104.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.