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Finding the Fourth Proportional to 206.13, 309.21 and 69.12

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Solution

The fourth proportional to 206.13, 309.21 and 69.12 is: 103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.13 : 309.21 = 69.12 : x
  2. Step 2: Convert to fraction form
    206.13/309.21 = 69.12/x
  3. Step 3: Cross multiply
    206.13x = 309.21 × 69.12
  4. Step 4: Simplify right side
    206.13x = 21,372.60
  5. Step 5: Solve for x
    x = 21,372.60/206.13
  6. Step 6: Final answer
    x = 103.69

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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.