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Finding the Fourth Proportional to 164.71, 227.31 and 109.55

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Solution

The fourth proportional to 164.71, 227.31 and 109.55 is: 151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.71 : 227.31 = 109.55 : x
  2. Step 2: Convert to fraction form
    164.71/227.31 = 109.55/x
  3. Step 3: Cross multiply
    164.71x = 227.31 × 109.55
  4. Step 4: Simplify right side
    164.71x = 24,901.81
  5. Step 5: Solve for x
    x = 24,901.81/164.71
  6. Step 6: Final answer
    x = 151.19

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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.