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Finding the Fourth Proportional to 80.40, 120.65 and 66.99

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Solution

The fourth proportional to 80.40, 120.65 and 66.99 is: 100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.40 : 120.65 = 66.99 : x
  2. Step 2: Convert to fraction form
    80.40/120.65 = 66.99/x
  3. Step 3: Cross multiply
    80.40x = 120.65 × 66.99
  4. Step 4: Simplify right side
    80.40x = 8,082.01
  5. Step 5: Solve for x
    x = 8,082.01/80.40
  6. Step 6: Final answer
    x = 100.52

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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.