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Finding the Fourth Proportional to 68.27, 102.53 and 41.38

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Solution

The fourth proportional to 68.27, 102.53 and 41.38 is: 62.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.27 : 102.53 = 41.38 : x
  2. Step 2: Convert to fraction form
    68.27/102.53 = 41.38/x
  3. Step 3: Cross multiply
    68.27x = 102.53 × 41.38
  4. Step 4: Simplify right side
    68.27x = 4,241.97
  5. Step 5: Solve for x
    x = 4,241.97/68.27
  6. Step 6: Final answer
    x = 62.14

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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.