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Finding the Fourth Proportional to 139.24, 209.03 and 102.67

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Solution

The fourth proportional to 139.24, 209.03 and 102.67 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 209.03 = 102.67 : x
  2. Step 2: Convert to fraction form
    139.24/209.03 = 102.67/x
  3. Step 3: Cross multiply
    139.24x = 209.03 × 102.67
  4. Step 4: Simplify right side
    139.24x = 21,461.11
  5. Step 5: Solve for x
    x = 21,461.11/139.24
  6. Step 6: Final answer
    x = 154.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.