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Finding the Fourth Proportional to 68.62, 102.87 and 52.66

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Solution

The fourth proportional to 68.62, 102.87 and 52.66 is: 78.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.62 : 102.87 = 52.66 : x
  2. Step 2: Convert to fraction form
    68.62/102.87 = 52.66/x
  3. Step 3: Cross multiply
    68.62x = 102.87 × 52.66
  4. Step 4: Simplify right side
    68.62x = 5,417.13
  5. Step 5: Solve for x
    x = 5,417.13/68.62
  6. Step 6: Final answer
    x = 78.94

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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.