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Finding the Fourth Proportional to 68.89, 103.23 and 39.91

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Solution

The fourth proportional to 68.89, 103.23 and 39.91 is: 59.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.89 : 103.23 = 39.91 : x
  2. Step 2: Convert to fraction form
    68.89/103.23 = 39.91/x
  3. Step 3: Cross multiply
    68.89x = 103.23 × 39.91
  4. Step 4: Simplify right side
    68.89x = 4,119.91
  5. Step 5: Solve for x
    x = 4,119.91/68.89
  6. Step 6: Final answer
    x = 59.80

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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.