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Finding the Fourth Proportional to 169.41, 233.69 and 102.96

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Solution

The fourth proportional to 169.41, 233.69 and 102.96 is: 142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.41 : 233.69 = 102.96 : x
  2. Step 2: Convert to fraction form
    169.41/233.69 = 102.96/x
  3. Step 3: Cross multiply
    169.41x = 233.69 × 102.96
  4. Step 4: Simplify right side
    169.41x = 24,060.86
  5. Step 5: Solve for x
    x = 24,060.86/169.41
  6. Step 6: Final answer
    x = 142.03

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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.