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Finding the Fourth Proportional to 214.38, 321.62 and 68.12

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Solution

The fourth proportional to 214.38, 321.62 and 68.12 is: 102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.38 : 321.62 = 68.12 : x
  2. Step 2: Convert to fraction form
    214.38/321.62 = 68.12/x
  3. Step 3: Cross multiply
    214.38x = 321.62 × 68.12
  4. Step 4: Simplify right side
    214.38x = 21,908.75
  5. Step 5: Solve for x
    x = 21,908.75/214.38
  6. Step 6: Final answer
    x = 102.20

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Why These Related Problems?

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