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Finding the Fourth Proportional to 68.20, 102.26 and 27.61

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Solution

The fourth proportional to 68.20, 102.26 and 27.61 is: 41.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.20 : 102.26 = 27.61 : x
  2. Step 2: Convert to fraction form
    68.20/102.26 = 27.61/x
  3. Step 3: Cross multiply
    68.20x = 102.26 × 27.61
  4. Step 4: Simplify right side
    68.20x = 2,823.21
  5. Step 5: Solve for x
    x = 2,823.21/68.20
  6. Step 6: Final answer
    x = 41.40

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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.