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Finding the Fourth Proportional to 164.88, 227.44 and 105.84

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Solution

The fourth proportional to 164.88, 227.44 and 105.84 is: 146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.88 : 227.44 = 105.84 : x
  2. Step 2: Convert to fraction form
    164.88/227.44 = 105.84/x
  3. Step 3: Cross multiply
    164.88x = 227.44 × 105.84
  4. Step 4: Simplify right side
    164.88x = 24,072.25
  5. Step 5: Solve for x
    x = 24,072.25/164.88
  6. Step 6: Final answer
    x = 146.00

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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.