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Finding the Fourth Proportional to 174.23, 261.24 and 71.43

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Solution

The fourth proportional to 174.23, 261.24 and 71.43 is: 107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.23 : 261.24 = 71.43 : x
  2. Step 2: Convert to fraction form
    174.23/261.24 = 71.43/x
  3. Step 3: Cross multiply
    174.23x = 261.24 × 71.43
  4. Step 4: Simplify right side
    174.23x = 18,660.37
  5. Step 5: Solve for x
    x = 18,660.37/174.23
  6. Step 6: Final answer
    x = 107.11

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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.