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Finding the Fourth Proportional to 164.03, 226.31 and 101.84

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Solution

The fourth proportional to 164.03, 226.31 and 101.84 is: 140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.03 : 226.31 = 101.84 : x
  2. Step 2: Convert to fraction form
    164.03/226.31 = 101.84/x
  3. Step 3: Cross multiply
    164.03x = 226.31 × 101.84
  4. Step 4: Simplify right side
    164.03x = 23,047.41
  5. Step 5: Solve for x
    x = 23,047.41/164.03
  6. Step 6: Final answer
    x = 140.51

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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.