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Finding the Fourth Proportional to 220.69, 330.81 and 83.56

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Solution

The fourth proportional to 220.69, 330.81 and 83.56 is: 125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.69 : 330.81 = 83.56 : x
  2. Step 2: Convert to fraction form
    220.69/330.81 = 83.56/x
  3. Step 3: Cross multiply
    220.69x = 330.81 × 83.56
  4. Step 4: Simplify right side
    220.69x = 27,642.48
  5. Step 5: Solve for x
    x = 27,642.48/220.69
  6. Step 6: Final answer
    x = 125.25

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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.