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Finding the Fourth Proportional to 123.11, 185.73 and 109.74

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Solution

The fourth proportional to 123.11, 185.73 and 109.74 is: 165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.11 : 185.73 = 109.74 : x
  2. Step 2: Convert to fraction form
    123.11/185.73 = 109.74/x
  3. Step 3: Cross multiply
    123.11x = 185.73 × 109.74
  4. Step 4: Simplify right side
    123.11x = 20,382.01
  5. Step 5: Solve for x
    x = 20,382.01/123.11
  6. Step 6: Final answer
    x = 165.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.