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Finding the Fourth Proportional to 138.87, 208.08 and 84.61

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Solution

The fourth proportional to 138.87, 208.08 and 84.61 is: 126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.87 : 208.08 = 84.61 : x
  2. Step 2: Convert to fraction form
    138.87/208.08 = 84.61/x
  3. Step 3: Cross multiply
    138.87x = 208.08 × 84.61
  4. Step 4: Simplify right side
    138.87x = 17,605.23
  5. Step 5: Solve for x
    x = 17,605.23/138.87
  6. Step 6: Final answer
    x = 126.77

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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.