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Finding the Fourth Proportional to 84.11, 116.06 and 77.39

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Solution

The fourth proportional to 84.11, 116.06 and 77.39 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.11 : 116.06 = 77.39 : x
  2. Step 2: Convert to fraction form
    84.11/116.06 = 77.39/x
  3. Step 3: Cross multiply
    84.11x = 116.06 × 77.39
  4. Step 4: Simplify right side
    84.11x = 8,981.79
  5. Step 5: Solve for x
    x = 8,981.79/84.11
  6. Step 6: Final answer
    x = 106.78

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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.