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Finding the Fourth Proportional to 111.89, 154.46 and 76.97

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Solution

The fourth proportional to 111.89, 154.46 and 76.97 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.89 : 154.46 = 76.97 : x
  2. Step 2: Convert to fraction form
    111.89/154.46 = 76.97/x
  3. Step 3: Cross multiply
    111.89x = 154.46 × 76.97
  4. Step 4: Simplify right side
    111.89x = 11,888.40
  5. Step 5: Solve for x
    x = 11,888.40/111.89
  6. Step 6: Final answer
    x = 106.25

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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.