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Finding the Fourth Proportional to 169.04, 252.98 and 107.31

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Solution

The fourth proportional to 169.04, 252.98 and 107.31 is: 160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.04 : 252.98 = 107.31 : x
  2. Step 2: Convert to fraction form
    169.04/252.98 = 107.31/x
  3. Step 3: Cross multiply
    169.04x = 252.98 × 107.31
  4. Step 4: Simplify right side
    169.04x = 27,146.75
  5. Step 5: Solve for x
    x = 27,146.75/169.04
  6. Step 6: Final answer
    x = 160.60

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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.