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Finding the Fourth Proportional to 169.04, 253.61 and 92.09

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Solution

The fourth proportional to 169.04, 253.61 and 92.09 is: 138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.04 : 253.61 = 92.09 : x
  2. Step 2: Convert to fraction form
    169.04/253.61 = 92.09/x
  3. Step 3: Cross multiply
    169.04x = 253.61 × 92.09
  4. Step 4: Simplify right side
    169.04x = 23,355.97
  5. Step 5: Solve for x
    x = 23,355.97/169.04
  6. Step 6: Final answer
    x = 138.17

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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.