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Finding the Fourth Proportional to 139.65, 209.47 and 36.94

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Solution

The fourth proportional to 139.65, 209.47 and 36.94 is: 55.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.65 : 209.47 = 36.94 : x
  2. Step 2: Convert to fraction form
    139.65/209.47 = 36.94/x
  3. Step 3: Cross multiply
    139.65x = 209.47 × 36.94
  4. Step 4: Simplify right side
    139.65x = 7,737.21
  5. Step 5: Solve for x
    x = 7,737.21/139.65
  6. Step 6: Final answer
    x = 55.40

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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.