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Finding the Fourth Proportional to 68.43, 102.40 and 41.39

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Solution

The fourth proportional to 68.43, 102.40 and 41.39 is: 61.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.43 : 102.40 = 41.39 : x
  2. Step 2: Convert to fraction form
    68.43/102.40 = 41.39/x
  3. Step 3: Cross multiply
    68.43x = 102.40 × 41.39
  4. Step 4: Simplify right side
    68.43x = 4,238.34
  5. Step 5: Solve for x
    x = 4,238.34/68.43
  6. Step 6: Final answer
    x = 61.94

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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.