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Finding the Fourth Proportional to 164.71, 227.32 and 102.55

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Solution

The fourth proportional to 164.71, 227.32 and 102.55 is: 141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.71 : 227.32 = 102.55 : x
  2. Step 2: Convert to fraction form
    164.71/227.32 = 102.55/x
  3. Step 3: Cross multiply
    164.71x = 227.32 × 102.55
  4. Step 4: Simplify right side
    164.71x = 23,310.02
  5. Step 5: Solve for x
    x = 23,310.02/164.71
  6. Step 6: Final answer
    x = 141.52

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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.