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Finding the Fourth Proportional to 174.82, 262.09 and 106.32

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Solution

The fourth proportional to 174.82, 262.09 and 106.32 is: 159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.82 : 262.09 = 106.32 : x
  2. Step 2: Convert to fraction form
    174.82/262.09 = 106.32/x
  3. Step 3: Cross multiply
    174.82x = 262.09 × 106.32
  4. Step 4: Simplify right side
    174.82x = 27,865.41
  5. Step 5: Solve for x
    x = 27,865.41/174.82
  6. Step 6: Final answer
    x = 159.39

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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.