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Finding the Fourth Proportional to 84.11, 116.06 and 49.61

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Solution

The fourth proportional to 84.11, 116.06 and 49.61 is: 68.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.11 : 116.06 = 49.61 : x
  2. Step 2: Convert to fraction form
    84.11/116.06 = 49.61/x
  3. Step 3: Cross multiply
    84.11x = 116.06 × 49.61
  4. Step 4: Simplify right side
    84.11x = 5,757.74
  5. Step 5: Solve for x
    x = 5,757.74/84.11
  6. Step 6: Final answer
    x = 68.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.