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Finding the Fourth Proportional to 80.16, 120.19 and 70.55

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Solution

The fourth proportional to 80.16, 120.19 and 70.55 is: 105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.16 : 120.19 = 70.55 : x
  2. Step 2: Convert to fraction form
    80.16/120.19 = 70.55/x
  3. Step 3: Cross multiply
    80.16x = 120.19 × 70.55
  4. Step 4: Simplify right side
    80.16x = 8,478.45
  5. Step 5: Solve for x
    x = 8,478.45/80.16
  6. Step 6: Final answer
    x = 105.78

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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.