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Finding the Fourth Proportional to 214.41, 321.64 and 86.13

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Solution

The fourth proportional to 214.41, 321.64 and 86.13 is: 129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.41 : 321.64 = 86.13 : x
  2. Step 2: Convert to fraction form
    214.41/321.64 = 86.13/x
  3. Step 3: Cross multiply
    214.41x = 321.64 × 86.13
  4. Step 4: Simplify right side
    214.41x = 27,702.85
  5. Step 5: Solve for x
    x = 27,702.85/214.41
  6. Step 6: Final answer
    x = 129.21

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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.