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Finding the Fourth Proportional to 170.62, 255.94 and 47.24

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Solution

The fourth proportional to 170.62, 255.94 and 47.24 is: 70.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.62 : 255.94 = 47.24 : x
  2. Step 2: Convert to fraction form
    170.62/255.94 = 47.24/x
  3. Step 3: Cross multiply
    170.62x = 255.94 × 47.24
  4. Step 4: Simplify right side
    170.62x = 12,090.61
  5. Step 5: Solve for x
    x = 12,090.61/170.62
  6. Step 6: Final answer
    x = 70.86

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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.