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Finding the Fourth Proportional to 214.33, 321.31 and 103.09

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Solution

The fourth proportional to 214.33, 321.31 and 103.09 is: 154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.33 : 321.31 = 103.09 : x
  2. Step 2: Convert to fraction form
    214.33/321.31 = 103.09/x
  3. Step 3: Cross multiply
    214.33x = 321.31 × 103.09
  4. Step 4: Simplify right side
    214.33x = 33,122.93
  5. Step 5: Solve for x
    x = 33,122.93/214.33
  6. Step 6: Final answer
    x = 154.54

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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.