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Finding the Fourth Proportional to 113.73, 169.83 and 97.31

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Solution

The fourth proportional to 113.73, 169.83 and 97.31 is: 145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.73 : 169.83 = 97.31 : x
  2. Step 2: Convert to fraction form
    113.73/169.83 = 97.31/x
  3. Step 3: Cross multiply
    113.73x = 169.83 × 97.31
  4. Step 4: Simplify right side
    113.73x = 16,525.06
  5. Step 5: Solve for x
    x = 16,525.06/113.73
  6. Step 6: Final answer
    x = 145.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.