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Finding the Fourth Proportional to 215.78, 323.73 and 106.02

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Solution

The fourth proportional to 215.78, 323.73 and 106.02 is: 159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.78 : 323.73 = 106.02 : x
  2. Step 2: Convert to fraction form
    215.78/323.73 = 106.02/x
  3. Step 3: Cross multiply
    215.78x = 323.73 × 106.02
  4. Step 4: Simplify right side
    215.78x = 34,321.85
  5. Step 5: Solve for x
    x = 34,321.85/215.78
  6. Step 6: Final answer
    x = 159.06

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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.