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Finding the Fourth Proportional to 164.06, 226.41 and 101.92

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Solution

The fourth proportional to 164.06, 226.41 and 101.92 is: 140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.06 : 226.41 = 101.92 : x
  2. Step 2: Convert to fraction form
    164.06/226.41 = 101.92/x
  3. Step 3: Cross multiply
    164.06x = 226.41 × 101.92
  4. Step 4: Simplify right side
    164.06x = 23,075.71
  5. Step 5: Solve for x
    x = 23,075.71/164.06
  6. Step 6: Final answer
    x = 140.65

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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.