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Finding the Fourth Proportional to 164.86, 227.42 and 102.64

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Solution

The fourth proportional to 164.86, 227.42 and 102.64 is: 141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.86 : 227.42 = 102.64 : x
  2. Step 2: Convert to fraction form
    164.86/227.42 = 102.64/x
  3. Step 3: Cross multiply
    164.86x = 227.42 × 102.64
  4. Step 4: Simplify right side
    164.86x = 23,342.39
  5. Step 5: Solve for x
    x = 23,342.39/164.86
  6. Step 6: Final answer
    x = 141.59

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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.