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Finding the Fourth Proportional to 139.26, 208.62 and 107.04

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Solution

The fourth proportional to 139.26, 208.62 and 107.04 is: 160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.26 : 208.62 = 107.04 : x
  2. Step 2: Convert to fraction form
    139.26/208.62 = 107.04/x
  3. Step 3: Cross multiply
    139.26x = 208.62 × 107.04
  4. Step 4: Simplify right side
    139.26x = 22,330.68
  5. Step 5: Solve for x
    x = 22,330.68/139.26
  6. Step 6: Final answer
    x = 160.35

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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.