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Finding the Fourth Proportional to 113.20, 156.22 and 63.41

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Solution

The fourth proportional to 113.20, 156.22 and 63.41 is: 87.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.20 : 156.22 = 63.41 : x
  2. Step 2: Convert to fraction form
    113.20/156.22 = 63.41/x
  3. Step 3: Cross multiply
    113.20x = 156.22 × 63.41
  4. Step 4: Simplify right side
    113.20x = 9,906.25
  5. Step 5: Solve for x
    x = 9,906.25/113.20
  6. Step 6: Final answer
    x = 87.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.