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Finding the Fourth Proportional to 123.82, 184.76 and 109.60

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Solution

The fourth proportional to 123.82, 184.76 and 109.60 is: 163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.82 : 184.76 = 109.60 : x
  2. Step 2: Convert to fraction form
    123.82/184.76 = 109.60/x
  3. Step 3: Cross multiply
    123.82x = 184.76 × 109.60
  4. Step 4: Simplify right side
    123.82x = 20,249.70
  5. Step 5: Solve for x
    x = 20,249.70/123.82
  6. Step 6: Final answer
    x = 163.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.