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Finding the Fourth Proportional to 71.82, 107.79 and 49.05

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Solution

The fourth proportional to 71.82, 107.79 and 49.05 is: 73.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.82 : 107.79 = 49.05 : x
  2. Step 2: Convert to fraction form
    71.82/107.79 = 49.05/x
  3. Step 3: Cross multiply
    71.82x = 107.79 × 49.05
  4. Step 4: Simplify right side
    71.82x = 5,287.10
  5. Step 5: Solve for x
    x = 5,287.10/71.82
  6. Step 6: Final answer
    x = 73.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.