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Finding the Fourth Proportional to 139.34, 209.46 and 98.92

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Solution

The fourth proportional to 139.34, 209.46 and 98.92 is: 148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.34 : 209.46 = 98.92 : x
  2. Step 2: Convert to fraction form
    139.34/209.46 = 98.92/x
  3. Step 3: Cross multiply
    139.34x = 209.46 × 98.92
  4. Step 4: Simplify right side
    139.34x = 20,719.78
  5. Step 5: Solve for x
    x = 20,719.78/139.34
  6. Step 6: Final answer
    x = 148.70

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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.