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Finding the Fourth Proportional to 165.89, 249.01 and 69.77

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Solution

The fourth proportional to 165.89, 249.01 and 69.77 is: 104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.89 : 249.01 = 69.77 : x
  2. Step 2: Convert to fraction form
    165.89/249.01 = 69.77/x
  3. Step 3: Cross multiply
    165.89x = 249.01 × 69.77
  4. Step 4: Simplify right side
    165.89x = 17,373.43
  5. Step 5: Solve for x
    x = 17,373.43/165.89
  6. Step 6: Final answer
    x = 104.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.