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Finding the Fourth Proportional to 123.50, 184.14 and 109.83

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Solution

The fourth proportional to 123.50, 184.14 and 109.83 is: 163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.50 : 184.14 = 109.83 : x
  2. Step 2: Convert to fraction form
    123.50/184.14 = 109.83/x
  3. Step 3: Cross multiply
    123.50x = 184.14 × 109.83
  4. Step 4: Simplify right side
    123.50x = 20,224.10
  5. Step 5: Solve for x
    x = 20,224.10/123.50
  6. Step 6: Final answer
    x = 163.76

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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.