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Finding the Fourth Proportional to 111.44, 165.89 and 106.20

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Solution

The fourth proportional to 111.44, 165.89 and 106.20 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.44 : 165.89 = 106.20 : x
  2. Step 2: Convert to fraction form
    111.44/165.89 = 106.20/x
  3. Step 3: Cross multiply
    111.44x = 165.89 × 106.20
  4. Step 4: Simplify right side
    111.44x = 17,617.52
  5. Step 5: Solve for x
    x = 17,617.52/111.44
  6. Step 6: Final answer
    x = 158.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.