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Finding the Fourth Proportional to 164.02, 226.34 and 90.33

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Solution

The fourth proportional to 164.02, 226.34 and 90.33 is: 124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.02 : 226.34 = 90.33 : x
  2. Step 2: Convert to fraction form
    164.02/226.34 = 90.33/x
  3. Step 3: Cross multiply
    164.02x = 226.34 × 90.33
  4. Step 4: Simplify right side
    164.02x = 20,446.59
  5. Step 5: Solve for x
    x = 20,446.59/164.02
  6. Step 6: Final answer
    x = 124.66

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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.