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Finding the Fourth Proportional to 111.88, 154.42 and 75.14

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Solution

The fourth proportional to 111.88, 154.42 and 75.14 is: 103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.88 : 154.42 = 75.14 : x
  2. Step 2: Convert to fraction form
    111.88/154.42 = 75.14/x
  3. Step 3: Cross multiply
    111.88x = 154.42 × 75.14
  4. Step 4: Simplify right side
    111.88x = 11,603.32
  5. Step 5: Solve for x
    x = 11,603.32/111.88
  6. Step 6: Final answer
    x = 103.71

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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.