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Finding the Fourth Proportional to 89.09, 122.83 and 61.41

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Solution

The fourth proportional to 89.09, 122.83 and 61.41 is: 84.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.09 : 122.83 = 61.41 : x
  2. Step 2: Convert to fraction form
    89.09/122.83 = 61.41/x
  3. Step 3: Cross multiply
    89.09x = 122.83 × 61.41
  4. Step 4: Simplify right side
    89.09x = 7,542.99
  5. Step 5: Solve for x
    x = 7,542.99/89.09
  6. Step 6: Final answer
    x = 84.67

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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.