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Finding the Fourth Proportional to 214.39, 321.72 and 106.19

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Solution

The fourth proportional to 214.39, 321.72 and 106.19 is: 159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.39 : 321.72 = 106.19 : x
  2. Step 2: Convert to fraction form
    214.39/321.72 = 106.19/x
  3. Step 3: Cross multiply
    214.39x = 321.72 × 106.19
  4. Step 4: Simplify right side
    214.39x = 34,163.45
  5. Step 5: Solve for x
    x = 34,163.45/214.39
  6. Step 6: Final answer
    x = 159.35

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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.