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Finding the Fourth Proportional to 170.26, 234.73 and 123.59

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Solution

The fourth proportional to 170.26, 234.73 and 123.59 is: 170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.26 : 234.73 = 123.59 : x
  2. Step 2: Convert to fraction form
    170.26/234.73 = 123.59/x
  3. Step 3: Cross multiply
    170.26x = 234.73 × 123.59
  4. Step 4: Simplify right side
    170.26x = 29,010.28
  5. Step 5: Solve for x
    x = 29,010.28/170.26
  6. Step 6: Final answer
    x = 170.39

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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.