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Finding the Fourth Proportional to 214.69, 321.91 and 91.15

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Solution

The fourth proportional to 214.69, 321.91 and 91.15 is: 136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.69 : 321.91 = 91.15 : x
  2. Step 2: Convert to fraction form
    214.69/321.91 = 91.15/x
  3. Step 3: Cross multiply
    214.69x = 321.91 × 91.15
  4. Step 4: Simplify right side
    214.69x = 29,342.10
  5. Step 5: Solve for x
    x = 29,342.10/214.69
  6. Step 6: Final answer
    x = 136.67

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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.