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Finding the Fourth Proportional to 214.22, 321.46 and 106.02

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Solution

The fourth proportional to 214.22, 321.46 and 106.02 is: 159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.22 : 321.46 = 106.02 : x
  2. Step 2: Convert to fraction form
    214.22/321.46 = 106.02/x
  3. Step 3: Cross multiply
    214.22x = 321.46 × 106.02
  4. Step 4: Simplify right side
    214.22x = 34,081.19
  5. Step 5: Solve for x
    x = 34,081.19/214.22
  6. Step 6: Final answer
    x = 159.09

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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.