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Finding the Fourth Proportional to 110.49, 164.96 and 103.74

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Solution

The fourth proportional to 110.49, 164.96 and 103.74 is: 154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.49 : 164.96 = 103.74 : x
  2. Step 2: Convert to fraction form
    110.49/164.96 = 103.74/x
  3. Step 3: Cross multiply
    110.49x = 164.96 × 103.74
  4. Step 4: Simplify right side
    110.49x = 17,112.43
  5. Step 5: Solve for x
    x = 17,112.43/110.49
  6. Step 6: Final answer
    x = 154.88

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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.