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Finding the Fourth Proportional to 139.22, 208.86 and 47.94

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Solution

The fourth proportional to 139.22, 208.86 and 47.94 is: 71.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.22 : 208.86 = 47.94 : x
  2. Step 2: Convert to fraction form
    139.22/208.86 = 47.94/x
  3. Step 3: Cross multiply
    139.22x = 208.86 × 47.94
  4. Step 4: Simplify right side
    139.22x = 10,012.75
  5. Step 5: Solve for x
    x = 10,012.75/139.22
  6. Step 6: Final answer
    x = 71.92

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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.