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Finding the Fourth Proportional to 84.13, 126.26 and 35.41

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Solution

The fourth proportional to 84.13, 126.26 and 35.41 is: 53.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.13 : 126.26 = 35.41 : x
  2. Step 2: Convert to fraction form
    84.13/126.26 = 35.41/x
  3. Step 3: Cross multiply
    84.13x = 126.26 × 35.41
  4. Step 4: Simplify right side
    84.13x = 4,470.87
  5. Step 5: Solve for x
    x = 4,470.87/84.13
  6. Step 6: Final answer
    x = 53.14

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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.