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Finding the Fourth Proportional to 165.08, 227.85 and 113.42

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Solution

The fourth proportional to 165.08, 227.85 and 113.42 is: 156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.08 : 227.85 = 113.42 : x
  2. Step 2: Convert to fraction form
    165.08/227.85 = 113.42/x
  3. Step 3: Cross multiply
    165.08x = 227.85 × 113.42
  4. Step 4: Simplify right side
    165.08x = 25,842.75
  5. Step 5: Solve for x
    x = 25,842.75/165.08
  6. Step 6: Final answer
    x = 156.55

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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.