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Finding the Fourth Proportional to 84.12, 126.13 and 51.63

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Solution

The fourth proportional to 84.12, 126.13 and 51.63 is: 77.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.12 : 126.13 = 51.63 : x
  2. Step 2: Convert to fraction form
    84.12/126.13 = 51.63/x
  3. Step 3: Cross multiply
    84.12x = 126.13 × 51.63
  4. Step 4: Simplify right side
    84.12x = 6,511.96
  5. Step 5: Solve for x
    x = 6,511.96/84.12
  6. Step 6: Final answer
    x = 77.41

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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.