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Finding the Fourth Proportional to 89.10, 122.72 and 82.22

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Solution

The fourth proportional to 89.10, 122.72 and 82.22 is: 113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.10 : 122.72 = 82.22 : x
  2. Step 2: Convert to fraction form
    89.10/122.72 = 82.22/x
  3. Step 3: Cross multiply
    89.10x = 122.72 × 82.22
  4. Step 4: Simplify right side
    89.10x = 10,089.01
  5. Step 5: Solve for x
    x = 10,089.01/89.10
  6. Step 6: Final answer
    x = 113.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.