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Finding the Fourth Proportional to 111.36, 166.50 and 94.44

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Solution

The fourth proportional to 111.36, 166.50 and 94.44 is: 141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.36 : 166.50 = 94.44 : x
  2. Step 2: Convert to fraction form
    111.36/166.50 = 94.44/x
  3. Step 3: Cross multiply
    111.36x = 166.50 × 94.44
  4. Step 4: Simplify right side
    111.36x = 15,724.26
  5. Step 5: Solve for x
    x = 15,724.26/111.36
  6. Step 6: Final answer
    x = 141.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.