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Finding the Fourth Proportional to 123.89, 171.83 and 119.03

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Solution

The fourth proportional to 123.89, 171.83 and 119.03 is: 165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.89 : 171.83 = 119.03 : x
  2. Step 2: Convert to fraction form
    123.89/171.83 = 119.03/x
  3. Step 3: Cross multiply
    123.89x = 171.83 × 119.03
  4. Step 4: Simplify right side
    123.89x = 20,452.36
  5. Step 5: Solve for x
    x = 20,452.36/123.89
  6. Step 6: Final answer
    x = 165.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.