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Finding the Fourth Proportional to 68.16, 102.28 and 41.16

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Solution

The fourth proportional to 68.16, 102.28 and 41.16 is: 61.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.16 : 102.28 = 41.16 : x
  2. Step 2: Convert to fraction form
    68.16/102.28 = 41.16/x
  3. Step 3: Cross multiply
    68.16x = 102.28 × 41.16
  4. Step 4: Simplify right side
    68.16x = 4,209.84
  5. Step 5: Solve for x
    x = 4,209.84/68.16
  6. Step 6: Final answer
    x = 61.76

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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.