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Finding the Fourth Proportional to 71.97, 108.09 and 49.16

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Solution

The fourth proportional to 71.97, 108.09 and 49.16 is: 73.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.97 : 108.09 = 49.16 : x
  2. Step 2: Convert to fraction form
    71.97/108.09 = 49.16/x
  3. Step 3: Cross multiply
    71.97x = 108.09 × 49.16
  4. Step 4: Simplify right side
    71.97x = 5,313.16
  5. Step 5: Solve for x
    x = 5,313.16/71.97
  6. Step 6: Final answer
    x = 73.82

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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.