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Finding the Fourth Proportional to 111.69, 154.07 and 72.89

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Solution

The fourth proportional to 111.69, 154.07 and 72.89 is: 100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.69 : 154.07 = 72.89 : x
  2. Step 2: Convert to fraction form
    111.69/154.07 = 72.89/x
  3. Step 3: Cross multiply
    111.69x = 154.07 × 72.89
  4. Step 4: Simplify right side
    111.69x = 11,229.03
  5. Step 5: Solve for x
    x = 11,229.03/111.69
  6. Step 6: Final answer
    x = 100.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.