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Finding the Fourth Proportional to 169.09, 253.54 and 87.73

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Solution

The fourth proportional to 169.09, 253.54 and 87.73 is: 131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.09 : 253.54 = 87.73 : x
  2. Step 2: Convert to fraction form
    169.09/253.54 = 87.73/x
  3. Step 3: Cross multiply
    169.09x = 253.54 × 87.73
  4. Step 4: Simplify right side
    169.09x = 22,243.06
  5. Step 5: Solve for x
    x = 22,243.06/169.09
  6. Step 6: Final answer
    x = 131.55

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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.