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Finding the Fourth Proportional to 170.76, 255.87 and 84.09

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Solution

The fourth proportional to 170.76, 255.87 and 84.09 is: 126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.76 : 255.87 = 84.09 : x
  2. Step 2: Convert to fraction form
    170.76/255.87 = 84.09/x
  3. Step 3: Cross multiply
    170.76x = 255.87 × 84.09
  4. Step 4: Simplify right side
    170.76x = 21,516.11
  5. Step 5: Solve for x
    x = 21,516.11/170.76
  6. Step 6: Final answer
    x = 126.00

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