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Finding the Fourth Proportional to 164.64, 227.20 and 102.48

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Solution

The fourth proportional to 164.64, 227.20 and 102.48 is: 141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.64 : 227.20 = 102.48 : x
  2. Step 2: Convert to fraction form
    164.64/227.20 = 102.48/x
  3. Step 3: Cross multiply
    164.64x = 227.20 × 102.48
  4. Step 4: Simplify right side
    164.64x = 23,283.46
  5. Step 5: Solve for x
    x = 23,283.46/164.64
  6. Step 6: Final answer
    x = 141.42

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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.