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Finding the Fourth Proportional to 169.01, 233.01 and 129.55

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Solution

The fourth proportional to 169.01, 233.01 and 129.55 is: 178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.01 : 233.01 = 129.55 : x
  2. Step 2: Convert to fraction form
    169.01/233.01 = 129.55/x
  3. Step 3: Cross multiply
    169.01x = 233.01 × 129.55
  4. Step 4: Simplify right side
    169.01x = 30,186.45
  5. Step 5: Solve for x
    x = 30,186.45/169.01
  6. Step 6: Final answer
    x = 178.61

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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.