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Finding the Fourth Proportional to 174.56, 262.20 and 102.56

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Solution

The fourth proportional to 174.56, 262.20 and 102.56 is: 154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.56 : 262.20 = 102.56 : x
  2. Step 2: Convert to fraction form
    174.56/262.20 = 102.56/x
  3. Step 3: Cross multiply
    174.56x = 262.20 × 102.56
  4. Step 4: Simplify right side
    174.56x = 26,891.23
  5. Step 5: Solve for x
    x = 26,891.23/174.56
  6. Step 6: Final answer
    x = 154.05

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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.