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Finding the Fourth Proportional to 68.77, 102.97 and 61.42

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Solution

The fourth proportional to 68.77, 102.97 and 61.42 is: 91.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.77 : 102.97 = 61.42 : x
  2. Step 2: Convert to fraction form
    68.77/102.97 = 61.42/x
  3. Step 3: Cross multiply
    68.77x = 102.97 × 61.42
  4. Step 4: Simplify right side
    68.77x = 6,324.11
  5. Step 5: Solve for x
    x = 6,324.11/68.77
  6. Step 6: Final answer
    x = 91.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.