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Finding the Fourth Proportional to 119.74, 178.73 and 110.11

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Solution

The fourth proportional to 119.74, 178.73 and 110.11 is: 164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.74 : 178.73 = 110.11 : x
  2. Step 2: Convert to fraction form
    119.74/178.73 = 110.11/x
  3. Step 3: Cross multiply
    119.74x = 178.73 × 110.11
  4. Step 4: Simplify right side
    119.74x = 19,679.96
  5. Step 5: Solve for x
    x = 19,679.96/119.74
  6. Step 6: Final answer
    x = 164.36

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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.