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Finding the Fourth Proportional to 170.25, 234.95 and 96.57

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Solution

The fourth proportional to 170.25, 234.95 and 96.57 is: 133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.25 : 234.95 = 96.57 : x
  2. Step 2: Convert to fraction form
    170.25/234.95 = 96.57/x
  3. Step 3: Cross multiply
    170.25x = 234.95 × 96.57
  4. Step 4: Simplify right side
    170.25x = 22,688.64
  5. Step 5: Solve for x
    x = 22,688.64/170.25
  6. Step 6: Final answer
    x = 133.27

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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.