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Finding the Fourth Proportional to 84.59, 126.06 and 81.62

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Solution

The fourth proportional to 84.59, 126.06 and 81.62 is: 121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.59 : 126.06 = 81.62 : x
  2. Step 2: Convert to fraction form
    84.59/126.06 = 81.62/x
  3. Step 3: Cross multiply
    84.59x = 126.06 × 81.62
  4. Step 4: Simplify right side
    84.59x = 10,288.39
  5. Step 5: Solve for x
    x = 10,288.39/84.59
  6. Step 6: Final answer
    x = 121.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.