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Finding the Fourth Proportional to 110.66, 165.90 and 49.82

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Solution

The fourth proportional to 110.66, 165.90 and 49.82 is: 74.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.66 : 165.90 = 49.82 : x
  2. Step 2: Convert to fraction form
    110.66/165.90 = 49.82/x
  3. Step 3: Cross multiply
    110.66x = 165.90 × 49.82
  4. Step 4: Simplify right side
    110.66x = 8,265.14
  5. Step 5: Solve for x
    x = 8,265.14/110.66
  6. Step 6: Final answer
    x = 74.69

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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.