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Finding the Fourth Proportional to 164.05, 226.29 and 101.77

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Solution

The fourth proportional to 164.05, 226.29 and 101.77 is: 140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.05 : 226.29 = 101.77 : x
  2. Step 2: Convert to fraction form
    164.05/226.29 = 101.77/x
  3. Step 3: Cross multiply
    164.05x = 226.29 × 101.77
  4. Step 4: Simplify right side
    164.05x = 23,029.53
  5. Step 5: Solve for x
    x = 23,029.53/164.05
  6. Step 6: Final answer
    x = 140.38

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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.