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Finding the Fourth Proportional to 164.31, 226.82 and 112.03

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Solution

The fourth proportional to 164.31, 226.82 and 112.03 is: 154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.31 : 226.82 = 112.03 : x
  2. Step 2: Convert to fraction form
    164.31/226.82 = 112.03/x
  3. Step 3: Cross multiply
    164.31x = 226.82 × 112.03
  4. Step 4: Simplify right side
    164.31x = 25,409.45
  5. Step 5: Solve for x
    x = 25,409.45/164.31
  6. Step 6: Final answer
    x = 154.64

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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.