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Finding the Fourth Proportional to 110.50, 165.82 and 49.64

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Solution

The fourth proportional to 110.50, 165.82 and 49.64 is: 74.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 165.82 = 49.64 : x
  2. Step 2: Convert to fraction form
    110.50/165.82 = 49.64/x
  3. Step 3: Cross multiply
    110.50x = 165.82 × 49.64
  4. Step 4: Simplify right side
    110.50x = 8,230.23
  5. Step 5: Solve for x
    x = 8,230.23/110.50
  6. Step 6: Final answer
    x = 74.48

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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.