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Finding the Fourth Proportional to 111.44, 167.84 and 110.64

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Solution

The fourth proportional to 111.44, 167.84 and 110.64 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.44 : 167.84 = 110.64 : x
  2. Step 2: Convert to fraction form
    111.44/167.84 = 110.64/x
  3. Step 3: Cross multiply
    111.44x = 167.84 × 110.64
  4. Step 4: Simplify right side
    111.44x = 18,569.82
  5. Step 5: Solve for x
    x = 18,569.82/111.44
  6. Step 6: Final answer
    x = 166.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.