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Finding the Fourth Proportional to 169.96, 234.54 and 96.31

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Solution

The fourth proportional to 169.96, 234.54 and 96.31 is: 132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.96 : 234.54 = 96.31 : x
  2. Step 2: Convert to fraction form
    169.96/234.54 = 96.31/x
  3. Step 3: Cross multiply
    169.96x = 234.54 × 96.31
  4. Step 4: Simplify right side
    169.96x = 22,588.55
  5. Step 5: Solve for x
    x = 22,588.55/169.96
  6. Step 6: Final answer
    x = 132.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.