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Finding the Fourth Proportional to 139.08, 208.43 and 84.05

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Solution

The fourth proportional to 139.08, 208.43 and 84.05 is: 125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.08 : 208.43 = 84.05 : x
  2. Step 2: Convert to fraction form
    139.08/208.43 = 84.05/x
  3. Step 3: Cross multiply
    139.08x = 208.43 × 84.05
  4. Step 4: Simplify right side
    139.08x = 17,519.27
  5. Step 5: Solve for x
    x = 17,519.27/139.08
  6. Step 6: Final answer
    x = 125.97

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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.