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Finding the Fourth Proportional to 84.08, 125.84 and 68.70

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Solution

The fourth proportional to 84.08, 125.84 and 68.70 is: 102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.08 : 125.84 = 68.70 : x
  2. Step 2: Convert to fraction form
    84.08/125.84 = 68.70/x
  3. Step 3: Cross multiply
    84.08x = 125.84 × 68.70
  4. Step 4: Simplify right side
    84.08x = 8,645.21
  5. Step 5: Solve for x
    x = 8,645.21/84.08
  6. Step 6: Final answer
    x = 102.82

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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.