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Finding the Fourth Proportional to 213.73, 320.62 and 83.73

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Solution

The fourth proportional to 213.73, 320.62 and 83.73 is: 125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.73 : 320.62 = 83.73 : x
  2. Step 2: Convert to fraction form
    213.73/320.62 = 83.73/x
  3. Step 3: Cross multiply
    213.73x = 320.62 × 83.73
  4. Step 4: Simplify right side
    213.73x = 26,845.51
  5. Step 5: Solve for x
    x = 26,845.51/213.73
  6. Step 6: Final answer
    x = 125.60

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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.