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Finding the Fourth Proportional to 215.90, 324.02 and 106.37

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Solution

The fourth proportional to 215.90, 324.02 and 106.37 is: 159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.90 : 324.02 = 106.37 : x
  2. Step 2: Convert to fraction form
    215.90/324.02 = 106.37/x
  3. Step 3: Cross multiply
    215.90x = 324.02 × 106.37
  4. Step 4: Simplify right side
    215.90x = 34,463.86
  5. Step 5: Solve for x
    x = 34,463.86/215.90
  6. Step 6: Final answer
    x = 159.63

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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.