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Finding the Fourth Proportional to 89.10, 122.82 and 75.96

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Solution

The fourth proportional to 89.10, 122.82 and 75.96 is: 104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.10 : 122.82 = 75.96 : x
  2. Step 2: Convert to fraction form
    89.10/122.82 = 75.96/x
  3. Step 3: Cross multiply
    89.10x = 122.82 × 75.96
  4. Step 4: Simplify right side
    89.10x = 9,329.41
  5. Step 5: Solve for x
    x = 9,329.41/89.10
  6. Step 6: Final answer
    x = 104.71

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Why These Related Problems?

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