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Finding the Fourth Proportional to 164.30, 226.73 and 102.11

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Solution

The fourth proportional to 164.30, 226.73 and 102.11 is: 140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.30 : 226.73 = 102.11 : x
  2. Step 2: Convert to fraction form
    164.30/226.73 = 102.11/x
  3. Step 3: Cross multiply
    164.30x = 226.73 × 102.11
  4. Step 4: Simplify right side
    164.30x = 23,151.40
  5. Step 5: Solve for x
    x = 23,151.40/164.30
  6. Step 6: Final answer
    x = 140.91

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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.