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Finding the Fourth Proportional to 79.89, 119.07 and 75.33

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Solution

The fourth proportional to 79.89, 119.07 and 75.33 is: 112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.89 : 119.07 = 75.33 : x
  2. Step 2: Convert to fraction form
    79.89/119.07 = 75.33/x
  3. Step 3: Cross multiply
    79.89x = 119.07 × 75.33
  4. Step 4: Simplify right side
    79.89x = 8,969.54
  5. Step 5: Solve for x
    x = 8,969.54/79.89
  6. Step 6: Final answer
    x = 112.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.