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Finding the Fourth Proportional to 170.31, 234.98 and 96.57

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Solution

The fourth proportional to 170.31, 234.98 and 96.57 is: 133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.31 : 234.98 = 96.57 : x
  2. Step 2: Convert to fraction form
    170.31/234.98 = 96.57/x
  3. Step 3: Cross multiply
    170.31x = 234.98 × 96.57
  4. Step 4: Simplify right side
    170.31x = 22,691.54
  5. Step 5: Solve for x
    x = 22,691.54/170.31
  6. Step 6: Final answer
    x = 133.24

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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.