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Finding the Fourth Proportional to 68.25, 102.42 and 29.73

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Solution

The fourth proportional to 68.25, 102.42 and 29.73 is: 44.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 102.42 = 29.73 : x
  2. Step 2: Convert to fraction form
    68.25/102.42 = 29.73/x
  3. Step 3: Cross multiply
    68.25x = 102.42 × 29.73
  4. Step 4: Simplify right side
    68.25x = 3,044.95
  5. Step 5: Solve for x
    x = 3,044.95/68.25
  6. Step 6: Final answer
    x = 44.61

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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.