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Finding the Fourth Proportional to 169.78, 234.56 and 123.40

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Solution

The fourth proportional to 169.78, 234.56 and 123.40 is: 170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.78 : 234.56 = 123.40 : x
  2. Step 2: Convert to fraction form
    169.78/234.56 = 123.40/x
  3. Step 3: Cross multiply
    169.78x = 234.56 × 123.40
  4. Step 4: Simplify right side
    169.78x = 28,944.70
  5. Step 5: Solve for x
    x = 28,944.70/169.78
  6. Step 6: Final answer
    x = 170.48

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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.