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Finding the Fourth Proportional to 214.10, 320.96 and 84.19

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Solution

The fourth proportional to 214.10, 320.96 and 84.19 is: 126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.10 : 320.96 = 84.19 : x
  2. Step 2: Convert to fraction form
    214.10/320.96 = 84.19/x
  3. Step 3: Cross multiply
    214.10x = 320.96 × 84.19
  4. Step 4: Simplify right side
    214.10x = 27,021.62
  5. Step 5: Solve for x
    x = 27,021.62/214.10
  6. Step 6: Final answer
    x = 126.21

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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.