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Finding the Fourth Proportional to 220.06, 330.09 and 75.88

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Solution

The fourth proportional to 220.06, 330.09 and 75.88 is: 113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.06 : 330.09 = 75.88 : x
  2. Step 2: Convert to fraction form
    220.06/330.09 = 75.88/x
  3. Step 3: Cross multiply
    220.06x = 330.09 × 75.88
  4. Step 4: Simplify right side
    220.06x = 25,047.23
  5. Step 5: Solve for x
    x = 25,047.23/220.06
  6. Step 6: Final answer
    x = 113.82

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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.