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Finding the Fourth Proportional to 169.21, 253.96 and 108.39

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Solution

The fourth proportional to 169.21, 253.96 and 108.39 is: 162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.21 : 253.96 = 108.39 : x
  2. Step 2: Convert to fraction form
    169.21/253.96 = 108.39/x
  3. Step 3: Cross multiply
    169.21x = 253.96 × 108.39
  4. Step 4: Simplify right side
    169.21x = 27,526.72
  5. Step 5: Solve for x
    x = 27,526.72/169.21
  6. Step 6: Final answer
    x = 162.68

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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.