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Finding the Fourth Proportional to 164.49, 227.03 and 102.35

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Solution

The fourth proportional to 164.49, 227.03 and 102.35 is: 141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.49 : 227.03 = 102.35 : x
  2. Step 2: Convert to fraction form
    164.49/227.03 = 102.35/x
  3. Step 3: Cross multiply
    164.49x = 227.03 × 102.35
  4. Step 4: Simplify right side
    164.49x = 23,234.87
  5. Step 5: Solve for x
    x = 23,234.87/164.49
  6. Step 6: Final answer
    x = 141.25

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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.