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Finding the Fourth Proportional to 68.14, 101.97 and 57.96

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Solution

The fourth proportional to 68.14, 101.97 and 57.96 is: 86.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.14 : 101.97 = 57.96 : x
  2. Step 2: Convert to fraction form
    68.14/101.97 = 57.96/x
  3. Step 3: Cross multiply
    68.14x = 101.97 × 57.96
  4. Step 4: Simplify right side
    68.14x = 5,910.18
  5. Step 5: Solve for x
    x = 5,910.18/68.14
  6. Step 6: Final answer
    x = 86.74

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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.