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Finding the Fourth Proportional to 169.42, 254.04 and 105.34

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Solution

The fourth proportional to 169.42, 254.04 and 105.34 is: 157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.42 : 254.04 = 105.34 : x
  2. Step 2: Convert to fraction form
    169.42/254.04 = 105.34/x
  3. Step 3: Cross multiply
    169.42x = 254.04 × 105.34
  4. Step 4: Simplify right side
    169.42x = 26,760.57
  5. Step 5: Solve for x
    x = 26,760.57/169.42
  6. Step 6: Final answer
    x = 157.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.