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Finding the Fourth Proportional to 170.40, 255.36 and 106.24

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Solution

The fourth proportional to 170.40, 255.36 and 106.24 is: 159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.40 : 255.36 = 106.24 : x
  2. Step 2: Convert to fraction form
    170.40/255.36 = 106.24/x
  3. Step 3: Cross multiply
    170.40x = 255.36 × 106.24
  4. Step 4: Simplify right side
    170.40x = 27,129.45
  5. Step 5: Solve for x
    x = 27,129.45/170.40
  6. Step 6: Final answer
    x = 159.21

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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.