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Finding the Fourth Proportional to 139.21, 208.61 and 77.54

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Solution

The fourth proportional to 139.21, 208.61 and 77.54 is: 116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.21 : 208.61 = 77.54 : x
  2. Step 2: Convert to fraction form
    139.21/208.61 = 77.54/x
  3. Step 3: Cross multiply
    139.21x = 208.61 × 77.54
  4. Step 4: Simplify right side
    139.21x = 16,174.58
  5. Step 5: Solve for x
    x = 16,174.58/139.21
  6. Step 6: Final answer
    x = 116.19

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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.