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Finding the Fourth Proportional to 165.08, 227.78 and 102.92

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Solution

The fourth proportional to 165.08, 227.78 and 102.92 is: 142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.08 : 227.78 = 102.92 : x
  2. Step 2: Convert to fraction form
    165.08/227.78 = 102.92/x
  3. Step 3: Cross multiply
    165.08x = 227.78 × 102.92
  4. Step 4: Simplify right side
    165.08x = 23,443.12
  5. Step 5: Solve for x
    x = 23,443.12/165.08
  6. Step 6: Final answer
    x = 142.01

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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.