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Finding the Fourth Proportional to 68.67, 102.36 and 67.86

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Solution

The fourth proportional to 68.67, 102.36 and 67.86 is: 101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.67 : 102.36 = 67.86 : x
  2. Step 2: Convert to fraction form
    68.67/102.36 = 67.86/x
  3. Step 3: Cross multiply
    68.67x = 102.36 × 67.86
  4. Step 4: Simplify right side
    68.67x = 6,946.15
  5. Step 5: Solve for x
    x = 6,946.15/68.67
  6. Step 6: Final answer
    x = 101.15

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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.