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Finding the Fourth Proportional to 164.89, 227.45 and 102.77

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Solution

The fourth proportional to 164.89, 227.45 and 102.77 is: 141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.89 : 227.45 = 102.77 : x
  2. Step 2: Convert to fraction form
    164.89/227.45 = 102.77/x
  3. Step 3: Cross multiply
    164.89x = 227.45 × 102.77
  4. Step 4: Simplify right side
    164.89x = 23,375.04
  5. Step 5: Solve for x
    x = 23,375.04/164.89
  6. Step 6: Final answer
    x = 141.76

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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.