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Finding the Fourth Proportional to 174.12, 260.72 and 92.79

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Solution

The fourth proportional to 174.12, 260.72 and 92.79 is: 138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.12 : 260.72 = 92.79 : x
  2. Step 2: Convert to fraction form
    174.12/260.72 = 92.79/x
  3. Step 3: Cross multiply
    174.12x = 260.72 × 92.79
  4. Step 4: Simplify right side
    174.12x = 24,192.21
  5. Step 5: Solve for x
    x = 24,192.21/174.12
  6. Step 6: Final answer
    x = 138.94

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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.