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Finding the Fourth Proportional to 174.86, 262.24 and 72.17

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Solution

The fourth proportional to 174.86, 262.24 and 72.17 is: 108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.86 : 262.24 = 72.17 : x
  2. Step 2: Convert to fraction form
    174.86/262.24 = 72.17/x
  3. Step 3: Cross multiply
    174.86x = 262.24 × 72.17
  4. Step 4: Simplify right side
    174.86x = 18,926.83
  5. Step 5: Solve for x
    x = 18,926.83/174.86
  6. Step 6: Final answer
    x = 108.24

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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.