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Finding the Fourth Proportional to 214.08, 321.16 and 77.10

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Solution

The fourth proportional to 214.08, 321.16 and 77.10 is: 115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.08 : 321.16 = 77.10 : x
  2. Step 2: Convert to fraction form
    214.08/321.16 = 77.10/x
  3. Step 3: Cross multiply
    214.08x = 321.16 × 77.10
  4. Step 4: Simplify right side
    214.08x = 24,759.83
  5. Step 5: Solve for x
    x = 24,759.83/214.08
  6. Step 6: Final answer
    x = 115.66

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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.