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Finding the Fourth Proportional to 164.74, 227.39 and 105.74

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Solution

The fourth proportional to 164.74, 227.39 and 105.74 is: 145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.74 : 227.39 = 105.74 : x
  2. Step 2: Convert to fraction form
    164.74/227.39 = 105.74/x
  3. Step 3: Cross multiply
    164.74x = 227.39 × 105.74
  4. Step 4: Simplify right side
    164.74x = 24,044.22
  5. Step 5: Solve for x
    x = 24,044.22/164.74
  6. Step 6: Final answer
    x = 145.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.