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Finding the Fourth Proportional to 110.80, 166.02 and 49.84

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Solution

The fourth proportional to 110.80, 166.02 and 49.84 is: 74.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.80 : 166.02 = 49.84 : x
  2. Step 2: Convert to fraction form
    110.80/166.02 = 49.84/x
  3. Step 3: Cross multiply
    110.80x = 166.02 × 49.84
  4. Step 4: Simplify right side
    110.80x = 8,274.44
  5. Step 5: Solve for x
    x = 8,274.44/110.80
  6. Step 6: Final answer
    x = 74.68

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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.