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Finding the Fourth Proportional to 110.82, 166.50 and 75.05

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Solution

The fourth proportional to 110.82, 166.50 and 75.05 is: 112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.82 : 166.50 = 75.05 : x
  2. Step 2: Convert to fraction form
    110.82/166.50 = 75.05/x
  3. Step 3: Cross multiply
    110.82x = 166.50 × 75.05
  4. Step 4: Simplify right side
    110.82x = 12,494.99
  5. Step 5: Solve for x
    x = 12,494.99/110.82
  6. Step 6: Final answer
    x = 112.75

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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.