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Finding the Fourth Proportional to 68.11, 102.25 and 66.51

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Solution

The fourth proportional to 68.11, 102.25 and 66.51 is: 99.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.11 : 102.25 = 66.51 : x
  2. Step 2: Convert to fraction form
    68.11/102.25 = 66.51/x
  3. Step 3: Cross multiply
    68.11x = 102.25 × 66.51
  4. Step 4: Simplify right side
    68.11x = 6,800.73
  5. Step 5: Solve for x
    x = 6,800.73/68.11
  6. Step 6: Final answer
    x = 99.85

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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.