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Finding the Fourth Proportional to 220.48, 330.64 and 83.57

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Solution

The fourth proportional to 220.48, 330.64 and 83.57 is: 125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.48 : 330.64 = 83.57 : x
  2. Step 2: Convert to fraction form
    220.48/330.64 = 83.57/x
  3. Step 3: Cross multiply
    220.48x = 330.64 × 83.57
  4. Step 4: Simplify right side
    220.48x = 27,629.72
  5. Step 5: Solve for x
    x = 27,629.72/220.48
  6. Step 6: Final answer
    x = 125.32

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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.