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Finding the Fourth Proportional to 84.20, 126.46 and 48.18

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Solution

The fourth proportional to 84.20, 126.46 and 48.18 is: 72.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.20 : 126.46 = 48.18 : x
  2. Step 2: Convert to fraction form
    84.20/126.46 = 48.18/x
  3. Step 3: Cross multiply
    84.20x = 126.46 × 48.18
  4. Step 4: Simplify right side
    84.20x = 6,092.84
  5. Step 5: Solve for x
    x = 6,092.84/84.20
  6. Step 6: Final answer
    x = 72.36

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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.