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Finding the Fourth Proportional to 113.53, 156.52 and 80.73

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Solution

The fourth proportional to 113.53, 156.52 and 80.73 is: 111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.53 : 156.52 = 80.73 : x
  2. Step 2: Convert to fraction form
    113.53/156.52 = 80.73/x
  3. Step 3: Cross multiply
    113.53x = 156.52 × 80.73
  4. Step 4: Simplify right side
    113.53x = 12,634.67
  5. Step 5: Solve for x
    x = 12,634.67/113.53
  6. Step 6: Final answer
    x = 111.29

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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.