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Finding the Fourth Proportional to 214.52, 321.71 and 106.27

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Solution

The fourth proportional to 214.52, 321.71 and 106.27 is: 159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 321.71 = 106.27 : x
  2. Step 2: Convert to fraction form
    214.52/321.71 = 106.27/x
  3. Step 3: Cross multiply
    214.52x = 321.71 × 106.27
  4. Step 4: Simplify right side
    214.52x = 34,186.79
  5. Step 5: Solve for x
    x = 34,186.79/214.52
  6. Step 6: Final answer
    x = 159.37

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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.