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Finding the Fourth Proportional to 84.94, 126.52 and 83.86

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Solution

The fourth proportional to 84.94, 126.52 and 83.86 is: 124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.94 : 126.52 = 83.86 : x
  2. Step 2: Convert to fraction form
    84.94/126.52 = 83.86/x
  3. Step 3: Cross multiply
    84.94x = 126.52 × 83.86
  4. Step 4: Simplify right side
    84.94x = 10,609.97
  5. Step 5: Solve for x
    x = 10,609.97/84.94
  6. Step 6: Final answer
    x = 124.91

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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.