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Finding the Fourth Proportional to 174.24, 261.22 and 105.75

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Solution

The fourth proportional to 174.24, 261.22 and 105.75 is: 158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 261.22 = 105.75 : x
  2. Step 2: Convert to fraction form
    174.24/261.22 = 105.75/x
  3. Step 3: Cross multiply
    174.24x = 261.22 × 105.75
  4. Step 4: Simplify right side
    174.24x = 27,624.02
  5. Step 5: Solve for x
    x = 27,624.02/174.24
  6. Step 6: Final answer
    x = 158.54

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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.