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Finding the Fourth Proportional to 68.90, 103.49 and 36.43

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Solution

The fourth proportional to 68.90, 103.49 and 36.43 is: 54.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.90 : 103.49 = 36.43 : x
  2. Step 2: Convert to fraction form
    68.90/103.49 = 36.43/x
  3. Step 3: Cross multiply
    68.90x = 103.49 × 36.43
  4. Step 4: Simplify right side
    68.90x = 3,769.70
  5. Step 5: Solve for x
    x = 3,769.70/68.90
  6. Step 6: Final answer
    x = 54.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.