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Finding the Fourth Proportional to 89.04, 122.26 and 77.96

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Solution

The fourth proportional to 89.04, 122.26 and 77.96 is: 107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.04 : 122.26 = 77.96 : x
  2. Step 2: Convert to fraction form
    89.04/122.26 = 77.96/x
  3. Step 3: Cross multiply
    89.04x = 122.26 × 77.96
  4. Step 4: Simplify right side
    89.04x = 9,531.39
  5. Step 5: Solve for x
    x = 9,531.39/89.04
  6. Step 6: Final answer
    x = 107.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.