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Finding the Fourth Proportional to 89, 122.46 and 67.08

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Solution

The fourth proportional to 89, 122.46 and 67.08 is: 92.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89 : 122.46 = 67.08 : x
  2. Step 2: Convert to fraction form
    89/122.46 = 67.08/x
  3. Step 3: Cross multiply
    89x = 122.46 × 67.08
  4. Step 4: Simplify right side
    89x = 8,214.62
  5. Step 5: Solve for x
    x = 8,214.62/89
  6. Step 6: Final answer
    x = 92.30

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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.