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Finding the Fourth Proportional to 169.18, 233.34 and 103.66

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Solution

The fourth proportional to 169.18, 233.34 and 103.66 is: 142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.18 : 233.34 = 103.66 : x
  2. Step 2: Convert to fraction form
    169.18/233.34 = 103.66/x
  3. Step 3: Cross multiply
    169.18x = 233.34 × 103.66
  4. Step 4: Simplify right side
    169.18x = 24,188.02
  5. Step 5: Solve for x
    x = 24,188.02/169.18
  6. Step 6: Final answer
    x = 142.97

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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.