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Finding the Fourth Proportional to 110.89, 164.94 and 110.52

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Solution

The fourth proportional to 110.89, 164.94 and 110.52 is: 164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.89 : 164.94 = 110.52 : x
  2. Step 2: Convert to fraction form
    110.89/164.94 = 110.52/x
  3. Step 3: Cross multiply
    110.89x = 164.94 × 110.52
  4. Step 4: Simplify right side
    110.89x = 18,229.17
  5. Step 5: Solve for x
    x = 18,229.17/110.89
  6. Step 6: Final answer
    x = 164.39

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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.