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Finding the Fourth Proportional to 170.36, 255.52 and 72.78

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Solution

The fourth proportional to 170.36, 255.52 and 72.78 is: 109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.36 : 255.52 = 72.78 : x
  2. Step 2: Convert to fraction form
    170.36/255.52 = 72.78/x
  3. Step 3: Cross multiply
    170.36x = 255.52 × 72.78
  4. Step 4: Simplify right side
    170.36x = 18,596.75
  5. Step 5: Solve for x
    x = 18,596.75/170.36
  6. Step 6: Final answer
    x = 109.16

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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.