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Finding the Fourth Proportional to 164.73, 227.34 and 109.47

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Solution

The fourth proportional to 164.73, 227.34 and 109.47 is: 151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.73 : 227.34 = 109.47 : x
  2. Step 2: Convert to fraction form
    164.73/227.34 = 109.47/x
  3. Step 3: Cross multiply
    164.73x = 227.34 × 109.47
  4. Step 4: Simplify right side
    164.73x = 24,886.91
  5. Step 5: Solve for x
    x = 24,886.91/164.73
  6. Step 6: Final answer
    x = 151.08

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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.