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Finding the Fourth Proportional to 68.87, 103.09 and 45.71

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Solution

The fourth proportional to 68.87, 103.09 and 45.71 is: 68.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.87 : 103.09 = 45.71 : x
  2. Step 2: Convert to fraction form
    68.87/103.09 = 45.71/x
  3. Step 3: Cross multiply
    68.87x = 103.09 × 45.71
  4. Step 4: Simplify right side
    68.87x = 4,711.73
  5. Step 5: Solve for x
    x = 4,711.73/68.87
  6. Step 6: Final answer
    x = 68.42

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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.