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Finding the Fourth Proportional to 170.96, 256.26 and 84.24

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Solution

The fourth proportional to 170.96, 256.26 and 84.24 is: 126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.96 : 256.26 = 84.24 : x
  2. Step 2: Convert to fraction form
    170.96/256.26 = 84.24/x
  3. Step 3: Cross multiply
    170.96x = 256.26 × 84.24
  4. Step 4: Simplify right side
    170.96x = 21,587.34
  5. Step 5: Solve for x
    x = 21,587.34/170.96
  6. Step 6: Final answer
    x = 126.27

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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.