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Finding the Fourth Proportional to 113.35, 156.31 and 82.21

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Solution

The fourth proportional to 113.35, 156.31 and 82.21 is: 113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.35 : 156.31 = 82.21 : x
  2. Step 2: Convert to fraction form
    113.35/156.31 = 82.21/x
  3. Step 3: Cross multiply
    113.35x = 156.31 × 82.21
  4. Step 4: Simplify right side
    113.35x = 12,850.25
  5. Step 5: Solve for x
    x = 12,850.25/113.35
  6. Step 6: Final answer
    x = 113.37

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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.