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Finding the Fourth Proportional to 213.68, 320.46 and 83.60

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Solution

The fourth proportional to 213.68, 320.46 and 83.60 is: 125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.68 : 320.46 = 83.60 : x
  2. Step 2: Convert to fraction form
    213.68/320.46 = 83.60/x
  3. Step 3: Cross multiply
    213.68x = 320.46 × 83.60
  4. Step 4: Simplify right side
    213.68x = 26,788.85
  5. Step 5: Solve for x
    x = 26,788.85/213.68
  6. Step 6: Final answer
    x = 125.37

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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.