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Finding the Fourth Proportional to 169.23, 233.54 and 95.58

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Solution

The fourth proportional to 169.23, 233.54 and 95.58 is: 131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.23 : 233.54 = 95.58 : x
  2. Step 2: Convert to fraction form
    169.23/233.54 = 95.58/x
  3. Step 3: Cross multiply
    169.23x = 233.54 × 95.58
  4. Step 4: Simplify right side
    169.23x = 22,321.75
  5. Step 5: Solve for x
    x = 22,321.75/169.23
  6. Step 6: Final answer
    x = 131.90

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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.