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Finding the Fourth Proportional to 110.78, 166.17 and 49.97

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Solution

The fourth proportional to 110.78, 166.17 and 49.97 is: 74.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.78 : 166.17 = 49.97 : x
  2. Step 2: Convert to fraction form
    110.78/166.17 = 49.97/x
  3. Step 3: Cross multiply
    110.78x = 166.17 × 49.97
  4. Step 4: Simplify right side
    110.78x = 8,303.51
  5. Step 5: Solve for x
    x = 8,303.51/110.78
  6. Step 6: Final answer
    x = 74.96

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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.