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Finding the Fourth Proportional to 214.10, 321.18 and 85.76

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Solution

The fourth proportional to 214.10, 321.18 and 85.76 is: 128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.10 : 321.18 = 85.76 : x
  2. Step 2: Convert to fraction form
    214.10/321.18 = 85.76/x
  3. Step 3: Cross multiply
    214.10x = 321.18 × 85.76
  4. Step 4: Simplify right side
    214.10x = 27,544.40
  5. Step 5: Solve for x
    x = 27,544.40/214.10
  6. Step 6: Final answer
    x = 128.65

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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.