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Finding the Fourth Proportional to 110.67, 165.91 and 46.59

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Solution

The fourth proportional to 110.67, 165.91 and 46.59 is: 69.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.67 : 165.91 = 46.59 : x
  2. Step 2: Convert to fraction form
    110.67/165.91 = 46.59/x
  3. Step 3: Cross multiply
    110.67x = 165.91 × 46.59
  4. Step 4: Simplify right side
    110.67x = 7,729.75
  5. Step 5: Solve for x
    x = 7,729.75/110.67
  6. Step 6: Final answer
    x = 69.85

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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.