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Finding the Fourth Proportional to 80.77, 120.98 and 60.26

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Solution

The fourth proportional to 80.77, 120.98 and 60.26 is: 90.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.77 : 120.98 = 60.26 : x
  2. Step 2: Convert to fraction form
    80.77/120.98 = 60.26/x
  3. Step 3: Cross multiply
    80.77x = 120.98 × 60.26
  4. Step 4: Simplify right side
    80.77x = 7,290.25
  5. Step 5: Solve for x
    x = 7,290.25/80.77
  6. Step 6: Final answer
    x = 90.26

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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.