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Finding the Fourth Proportional to 80.44, 120.61 and 26.32

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Solution

The fourth proportional to 80.44, 120.61 and 26.32 is: 39.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.44 : 120.61 = 26.32 : x
  2. Step 2: Convert to fraction form
    80.44/120.61 = 26.32/x
  3. Step 3: Cross multiply
    80.44x = 120.61 × 26.32
  4. Step 4: Simplify right side
    80.44x = 3,174.46
  5. Step 5: Solve for x
    x = 3,174.46/80.44
  6. Step 6: Final answer
    x = 39.46

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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.