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Finding the Fourth Proportional to 123.96, 185.04 and 103.38

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Solution

The fourth proportional to 123.96, 185.04 and 103.38 is: 154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.96 : 185.04 = 103.38 : x
  2. Step 2: Convert to fraction form
    123.96/185.04 = 103.38/x
  3. Step 3: Cross multiply
    123.96x = 185.04 × 103.38
  4. Step 4: Simplify right side
    123.96x = 19,129.44
  5. Step 5: Solve for x
    x = 19,129.44/123.96
  6. Step 6: Final answer
    x = 154.32

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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.