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Finding the Fourth Proportional to 119.08, 177.74 and 105.41

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Solution

The fourth proportional to 119.08, 177.74 and 105.41 is: 157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.08 : 177.74 = 105.41 : x
  2. Step 2: Convert to fraction form
    119.08/177.74 = 105.41/x
  3. Step 3: Cross multiply
    119.08x = 177.74 × 105.41
  4. Step 4: Simplify right side
    119.08x = 18,735.57
  5. Step 5: Solve for x
    x = 18,735.57/119.08
  6. Step 6: Final answer
    x = 157.34

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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.