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Finding the Fourth Proportional to 220.07, 330.11 and 75.77

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Solution

The fourth proportional to 220.07, 330.11 and 75.77 is: 113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.07 : 330.11 = 75.77 : x
  2. Step 2: Convert to fraction form
    220.07/330.11 = 75.77/x
  3. Step 3: Cross multiply
    220.07x = 330.11 × 75.77
  4. Step 4: Simplify right side
    220.07x = 25,010.97
  5. Step 5: Solve for x
    x = 25,010.97/220.07
  6. Step 6: Final answer
    x = 113.65

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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.