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Finding the Fourth Proportional to 139.95, 209.96 and 48.65

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Solution

The fourth proportional to 139.95, 209.96 and 48.65 is: 72.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.95 : 209.96 = 48.65 : x
  2. Step 2: Convert to fraction form
    139.95/209.96 = 48.65/x
  3. Step 3: Cross multiply
    139.95x = 209.96 × 48.65
  4. Step 4: Simplify right side
    139.95x = 10,213.26
  5. Step 5: Solve for x
    x = 10,213.26/139.95
  6. Step 6: Final answer
    x = 72.98

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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.