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Finding the Fourth Proportional to 154.67, 232.12 and 68.03

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Solution

The fourth proportional to 154.67, 232.12 and 68.03 is: 102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.67 : 232.12 = 68.03 : x
  2. Step 2: Convert to fraction form
    154.67/232.12 = 68.03/x
  3. Step 3: Cross multiply
    154.67x = 232.12 × 68.03
  4. Step 4: Simplify right side
    154.67x = 15,789.62
  5. Step 5: Solve for x
    x = 15,789.62/154.67
  6. Step 6: Final answer
    x = 102.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.