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Finding the Fourth Proportional to 215.76, 323.68 and 71.44

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Solution

The fourth proportional to 215.76, 323.68 and 71.44 is: 107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.76 : 323.68 = 71.44 : x
  2. Step 2: Convert to fraction form
    215.76/323.68 = 71.44/x
  3. Step 3: Cross multiply
    215.76x = 323.68 × 71.44
  4. Step 4: Simplify right side
    215.76x = 23,123.70
  5. Step 5: Solve for x
    x = 23,123.70/215.76
  6. Step 6: Final answer
    x = 107.17

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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.