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Finding the Fourth Proportional to 68.55, 103.68 and 68.07

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Solution

The fourth proportional to 68.55, 103.68 and 68.07 is: 102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.55 : 103.68 = 68.07 : x
  2. Step 2: Convert to fraction form
    68.55/103.68 = 68.07/x
  3. Step 3: Cross multiply
    68.55x = 103.68 × 68.07
  4. Step 4: Simplify right side
    68.55x = 7,057.89
  5. Step 5: Solve for x
    x = 7,057.89/68.55
  6. Step 6: Final answer
    x = 102.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.