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Finding the Fourth Proportional to 214.06, 321.12 and 105.82

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Solution

The fourth proportional to 214.06, 321.12 and 105.82 is: 158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.06 : 321.12 = 105.82 : x
  2. Step 2: Convert to fraction form
    214.06/321.12 = 105.82/x
  3. Step 3: Cross multiply
    214.06x = 321.12 × 105.82
  4. Step 4: Simplify right side
    214.06x = 33,980.92
  5. Step 5: Solve for x
    x = 33,980.92/214.06
  6. Step 6: Final answer
    x = 158.74

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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.