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Finding the Fourth Proportional to 111.90, 154.11 and 85.98

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Solution

The fourth proportional to 111.90, 154.11 and 85.98 is: 118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.90 : 154.11 = 85.98 : x
  2. Step 2: Convert to fraction form
    111.90/154.11 = 85.98/x
  3. Step 3: Cross multiply
    111.90x = 154.11 × 85.98
  4. Step 4: Simplify right side
    111.90x = 13,250.38
  5. Step 5: Solve for x
    x = 13,250.38/111.90
  6. Step 6: Final answer
    x = 118.41

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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.