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Finding the Fourth Proportional to 68.14, 102.09 and 41.02

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Solution

The fourth proportional to 68.14, 102.09 and 41.02 is: 61.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.14 : 102.09 = 41.02 : x
  2. Step 2: Convert to fraction form
    68.14/102.09 = 41.02/x
  3. Step 3: Cross multiply
    68.14x = 102.09 × 41.02
  4. Step 4: Simplify right side
    68.14x = 4,187.73
  5. Step 5: Solve for x
    x = 4,187.73/68.14
  6. Step 6: Final answer
    x = 61.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.