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Finding the Fourth Proportional to 84.14, 126.28 and 40.86

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Solution

The fourth proportional to 84.14, 126.28 and 40.86 is: 61.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.14 : 126.28 = 40.86 : x
  2. Step 2: Convert to fraction form
    84.14/126.28 = 40.86/x
  3. Step 3: Cross multiply
    84.14x = 126.28 × 40.86
  4. Step 4: Simplify right side
    84.14x = 5,159.80
  5. Step 5: Solve for x
    x = 5,159.80/84.14
  6. Step 6: Final answer
    x = 61.32

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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.