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Finding the Fourth Proportional to 170.13, 255.19 and 41.88

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Solution

The fourth proportional to 170.13, 255.19 and 41.88 is: 62.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.13 : 255.19 = 41.88 : x
  2. Step 2: Convert to fraction form
    170.13/255.19 = 41.88/x
  3. Step 3: Cross multiply
    170.13x = 255.19 × 41.88
  4. Step 4: Simplify right side
    170.13x = 10,686.08
  5. Step 5: Solve for x
    x = 10,686.08/170.13
  6. Step 6: Final answer
    x = 62.81

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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.