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Finding the Fourth Proportional to 68.67, 102.86 and 48.31

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Solution

The fourth proportional to 68.67, 102.86 and 48.31 is: 72.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.67 : 102.86 = 48.31 : x
  2. Step 2: Convert to fraction form
    68.67/102.86 = 48.31/x
  3. Step 3: Cross multiply
    68.67x = 102.86 × 48.31
  4. Step 4: Simplify right side
    68.67x = 4,968.85
  5. Step 5: Solve for x
    x = 4,968.85/68.67
  6. Step 6: Final answer
    x = 72.36

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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.