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Finding the Fourth Proportional to 170.33, 255.80 and 89.24

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Solution

The fourth proportional to 170.33, 255.80 and 89.24 is: 134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.33 : 255.80 = 89.24 : x
  2. Step 2: Convert to fraction form
    170.33/255.80 = 89.24/x
  3. Step 3: Cross multiply
    170.33x = 255.80 × 89.24
  4. Step 4: Simplify right side
    170.33x = 22,826.54
  5. Step 5: Solve for x
    x = 22,826.54/170.33
  6. Step 6: Final answer
    x = 134.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.