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Finding the Fourth Proportional to 164.02, 226.32 and 101.92

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Solution

The fourth proportional to 164.02, 226.32 and 101.92 is: 140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.02 : 226.32 = 101.92 : x
  2. Step 2: Convert to fraction form
    164.02/226.32 = 101.92/x
  3. Step 3: Cross multiply
    164.02x = 226.32 × 101.92
  4. Step 4: Simplify right side
    164.02x = 23,066.53
  5. Step 5: Solve for x
    x = 23,066.53/164.02
  6. Step 6: Final answer
    x = 140.63

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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.