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Finding the Fourth Proportional to 84.21, 126.21 and 32.82

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Solution

The fourth proportional to 84.21, 126.21 and 32.82 is: 49.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.21 : 126.21 = 32.82 : x
  2. Step 2: Convert to fraction form
    84.21/126.21 = 32.82/x
  3. Step 3: Cross multiply
    84.21x = 126.21 × 32.82
  4. Step 4: Simplify right side
    84.21x = 4,142.57
  5. Step 5: Solve for x
    x = 4,142.57/84.21
  6. Step 6: Final answer
    x = 49.20

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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.