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Finding the Fourth Proportional to 139.10, 208.70 and 84.36

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Solution

The fourth proportional to 139.10, 208.70 and 84.36 is: 126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.10 : 208.70 = 84.36 : x
  2. Step 2: Convert to fraction form
    139.10/208.70 = 84.36/x
  3. Step 3: Cross multiply
    139.10x = 208.70 × 84.36
  4. Step 4: Simplify right side
    139.10x = 17,606.61
  5. Step 5: Solve for x
    x = 17,606.61/139.10
  6. Step 6: Final answer
    x = 126.58

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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.