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Finding the Fourth Proportional to 170.55, 255.87 and 105.57

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Solution

The fourth proportional to 170.55, 255.87 and 105.57 is: 158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.55 : 255.87 = 105.57 : x
  2. Step 2: Convert to fraction form
    170.55/255.87 = 105.57/x
  3. Step 3: Cross multiply
    170.55x = 255.87 × 105.57
  4. Step 4: Simplify right side
    170.55x = 27,012.20
  5. Step 5: Solve for x
    x = 27,012.20/170.55
  6. Step 6: Final answer
    x = 158.38

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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.