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Finding the Fourth Proportional to 68.48, 102.68 and 26.76

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Solution

The fourth proportional to 68.48, 102.68 and 26.76 is: 40.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.48 : 102.68 = 26.76 : x
  2. Step 2: Convert to fraction form
    68.48/102.68 = 26.76/x
  3. Step 3: Cross multiply
    68.48x = 102.68 × 26.76
  4. Step 4: Simplify right side
    68.48x = 2,747.72
  5. Step 5: Solve for x
    x = 2,747.72/68.48
  6. Step 6: Final answer
    x = 40.12

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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.