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Finding the Fourth Proportional to 214.45, 321.60 and 75.59

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Solution

The fourth proportional to 214.45, 321.60 and 75.59 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.45 : 321.60 = 75.59 : x
  2. Step 2: Convert to fraction form
    214.45/321.60 = 75.59/x
  3. Step 3: Cross multiply
    214.45x = 321.60 × 75.59
  4. Step 4: Simplify right side
    214.45x = 24,308.56
  5. Step 5: Solve for x
    x = 24,308.56/214.45
  6. Step 6: Final answer
    x = 113.36

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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.