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Finding the Fourth Proportional to 68.84, 103.17 and 28.21

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Solution

The fourth proportional to 68.84, 103.17 and 28.21 is: 42.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.84 : 103.17 = 28.21 : x
  2. Step 2: Convert to fraction form
    68.84/103.17 = 28.21/x
  3. Step 3: Cross multiply
    68.84x = 103.17 × 28.21
  4. Step 4: Simplify right side
    68.84x = 2,910.43
  5. Step 5: Solve for x
    x = 2,910.43/68.84
  6. Step 6: Final answer
    x = 42.28

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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.