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Finding the Fourth Proportional to 111.44, 164.81 and 111.44

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Solution

The fourth proportional to 111.44, 164.81 and 111.44 is: 164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.44 : 164.81 = 111.44 : x
  2. Step 2: Convert to fraction form
    111.44/164.81 = 111.44/x
  3. Step 3: Cross multiply
    111.44x = 164.81 × 111.44
  4. Step 4: Simplify right side
    111.44x = 18,366.43
  5. Step 5: Solve for x
    x = 18,366.43/111.44
  6. Step 6: Final answer
    x = 164.81

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.