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Finding the Fourth Proportional to 111.98, 154.41 and 76.95

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Solution

The fourth proportional to 111.98, 154.41 and 76.95 is: 106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.98 : 154.41 = 76.95 : x
  2. Step 2: Convert to fraction form
    111.98/154.41 = 76.95/x
  3. Step 3: Cross multiply
    111.98x = 154.41 × 76.95
  4. Step 4: Simplify right side
    111.98x = 11,881.85
  5. Step 5: Solve for x
    x = 11,881.85/111.98
  6. Step 6: Final answer
    x = 106.11

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