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Finding the Fourth Proportional to 139.59, 209.37 and 48.29

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Solution

The fourth proportional to 139.59, 209.37 and 48.29 is: 72.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.59 : 209.37 = 48.29 : x
  2. Step 2: Convert to fraction form
    139.59/209.37 = 48.29/x
  3. Step 3: Cross multiply
    139.59x = 209.37 × 48.29
  4. Step 4: Simplify right side
    139.59x = 10,109.61
  5. Step 5: Solve for x
    x = 10,109.61/139.59
  6. Step 6: Final answer
    x = 72.42

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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.