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Finding the Fourth Proportional to 214.14, 321.11 and 77.10

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Solution

The fourth proportional to 214.14, 321.11 and 77.10 is: 115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.14 : 321.11 = 77.10 : x
  2. Step 2: Convert to fraction form
    214.14/321.11 = 77.10/x
  3. Step 3: Cross multiply
    214.14x = 321.11 × 77.10
  4. Step 4: Simplify right side
    214.14x = 24,757.58
  5. Step 5: Solve for x
    x = 24,757.58/214.14
  6. Step 6: Final answer
    x = 115.61

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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.