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Finding the Fourth Proportional to 215.45, 323.31 and 107.24

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Solution

The fourth proportional to 215.45, 323.31 and 107.24 is: 160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.45 : 323.31 = 107.24 : x
  2. Step 2: Convert to fraction form
    215.45/323.31 = 107.24/x
  3. Step 3: Cross multiply
    215.45x = 323.31 × 107.24
  4. Step 4: Simplify right side
    215.45x = 34,670.15
  5. Step 5: Solve for x
    x = 34,670.15/215.45
  6. Step 6: Final answer
    x = 160.92

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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.