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Finding the Fourth Proportional to 68.62, 102.15 and 68.26

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Solution

The fourth proportional to 68.62, 102.15 and 68.26 is: 101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.62 : 102.15 = 68.26 : x
  2. Step 2: Convert to fraction form
    68.62/102.15 = 68.26/x
  3. Step 3: Cross multiply
    68.62x = 102.15 × 68.26
  4. Step 4: Simplify right side
    68.62x = 6,972.76
  5. Step 5: Solve for x
    x = 6,972.76/68.62
  6. Step 6: Final answer
    x = 101.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.