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Finding the Fourth Proportional to 110.82, 166.16 and 49.90

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Solution

The fourth proportional to 110.82, 166.16 and 49.90 is: 74.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.82 : 166.16 = 49.90 : x
  2. Step 2: Convert to fraction form
    110.82/166.16 = 49.90/x
  3. Step 3: Cross multiply
    110.82x = 166.16 × 49.90
  4. Step 4: Simplify right side
    110.82x = 8,291.38
  5. Step 5: Solve for x
    x = 8,291.38/110.82
  6. Step 6: Final answer
    x = 74.82

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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.