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Finding the Fourth Proportional to 213.66, 320.31 and 83.59

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Solution

The fourth proportional to 213.66, 320.31 and 83.59 is: 125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.66 : 320.31 = 83.59 : x
  2. Step 2: Convert to fraction form
    213.66/320.31 = 83.59/x
  3. Step 3: Cross multiply
    213.66x = 320.31 × 83.59
  4. Step 4: Simplify right side
    213.66x = 26,774.71
  5. Step 5: Solve for x
    x = 26,774.71/213.66
  6. Step 6: Final answer
    x = 125.31

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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.