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Finding the Fourth Proportional to 68.84, 102.96 and 44.41

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Solution

The fourth proportional to 68.84, 102.96 and 44.41 is: 66.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.84 : 102.96 = 44.41 : x
  2. Step 2: Convert to fraction form
    68.84/102.96 = 44.41/x
  3. Step 3: Cross multiply
    68.84x = 102.96 × 44.41
  4. Step 4: Simplify right side
    68.84x = 4,572.45
  5. Step 5: Solve for x
    x = 4,572.45/68.84
  6. Step 6: Final answer
    x = 66.42

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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.