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Finding the Fourth Proportional to 169.03, 253.73 and 82.43

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Solution

The fourth proportional to 169.03, 253.73 and 82.43 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.03 : 253.73 = 82.43 : x
  2. Step 2: Convert to fraction form
    169.03/253.73 = 82.43/x
  3. Step 3: Cross multiply
    169.03x = 253.73 × 82.43
  4. Step 4: Simplify right side
    169.03x = 20,914.96
  5. Step 5: Solve for x
    x = 20,914.96/169.03
  6. Step 6: Final answer
    x = 123.74

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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.