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Finding the Fourth Proportional to 89.27, 123.23 and 61.73

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Solution

The fourth proportional to 89.27, 123.23 and 61.73 is: 85.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.27 : 123.23 = 61.73 : x
  2. Step 2: Convert to fraction form
    89.27/123.23 = 61.73/x
  3. Step 3: Cross multiply
    89.27x = 123.23 × 61.73
  4. Step 4: Simplify right side
    89.27x = 7,606.99
  5. Step 5: Solve for x
    x = 7,606.99/89.27
  6. Step 6: Final answer
    x = 85.21

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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.