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Finding the Fourth Proportional to 164.52, 227.02 and 102.25

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Solution

The fourth proportional to 164.52, 227.02 and 102.25 is: 141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.52 : 227.02 = 102.25 : x
  2. Step 2: Convert to fraction form
    164.52/227.02 = 102.25/x
  3. Step 3: Cross multiply
    164.52x = 227.02 × 102.25
  4. Step 4: Simplify right side
    164.52x = 23,212.80
  5. Step 5: Solve for x
    x = 23,212.80/164.52
  6. Step 6: Final answer
    x = 141.09

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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.