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Finding the Fourth Proportional to 68.41, 102.39 and 63.82

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Solution

The fourth proportional to 68.41, 102.39 and 63.82 is: 95.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.41 : 102.39 = 63.82 : x
  2. Step 2: Convert to fraction form
    68.41/102.39 = 63.82/x
  3. Step 3: Cross multiply
    68.41x = 102.39 × 63.82
  4. Step 4: Simplify right side
    68.41x = 6,534.53
  5. Step 5: Solve for x
    x = 6,534.53/68.41
  6. Step 6: Final answer
    x = 95.52

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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.