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Finding the Fourth Proportional to 111.97, 154.46 and 75.14

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Solution

The fourth proportional to 111.97, 154.46 and 75.14 is: 103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.97 : 154.46 = 75.14 : x
  2. Step 2: Convert to fraction form
    111.97/154.46 = 75.14/x
  3. Step 3: Cross multiply
    111.97x = 154.46 × 75.14
  4. Step 4: Simplify right side
    111.97x = 11,606.12
  5. Step 5: Solve for x
    x = 11,606.12/111.97
  6. Step 6: Final answer
    x = 103.66

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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.