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Finding the Fourth Proportional to 170.26, 234.94 and 101.26

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Solution

The fourth proportional to 170.26, 234.94 and 101.26 is: 139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.26 : 234.94 = 101.26 : x
  2. Step 2: Convert to fraction form
    170.26/234.94 = 101.26/x
  3. Step 3: Cross multiply
    170.26x = 234.94 × 101.26
  4. Step 4: Simplify right side
    170.26x = 23,790.02
  5. Step 5: Solve for x
    x = 23,790.02/170.26
  6. Step 6: Final answer
    x = 139.73

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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.