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Finding the Fourth Proportional to 139.65, 209.49 and 48.36

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Solution

The fourth proportional to 139.65, 209.49 and 48.36 is: 72.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.65 : 209.49 = 48.36 : x
  2. Step 2: Convert to fraction form
    139.65/209.49 = 48.36/x
  3. Step 3: Cross multiply
    139.65x = 209.49 × 48.36
  4. Step 4: Simplify right side
    139.65x = 10,130.94
  5. Step 5: Solve for x
    x = 10,130.94/139.65
  6. Step 6: Final answer
    x = 72.55

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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.