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Finding the Fourth Proportional to 111.82, 167.02 and 110.16

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Solution

The fourth proportional to 111.82, 167.02 and 110.16 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.82 : 167.02 = 110.16 : x
  2. Step 2: Convert to fraction form
    111.82/167.02 = 110.16/x
  3. Step 3: Cross multiply
    111.82x = 167.02 × 110.16
  4. Step 4: Simplify right side
    111.82x = 18,398.92
  5. Step 5: Solve for x
    x = 18,398.92/111.82
  6. Step 6: Final answer
    x = 164.54

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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.