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Finding the Fourth Proportional to 139.21, 208.51 and 70.67

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Solution

The fourth proportional to 139.21, 208.51 and 70.67 is: 105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.21 : 208.51 = 70.67 : x
  2. Step 2: Convert to fraction form
    139.21/208.51 = 70.67/x
  3. Step 3: Cross multiply
    139.21x = 208.51 × 70.67
  4. Step 4: Simplify right side
    139.21x = 14,735.75
  5. Step 5: Solve for x
    x = 14,735.75/139.21
  6. Step 6: Final answer
    x = 105.85

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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.