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Finding the Fourth Proportional to 110.44, 165.64 and 61.70

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Solution

The fourth proportional to 110.44, 165.64 and 61.70 is: 92.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.44 : 165.64 = 61.70 : x
  2. Step 2: Convert to fraction form
    110.44/165.64 = 61.70/x
  3. Step 3: Cross multiply
    110.44x = 165.64 × 61.70
  4. Step 4: Simplify right side
    110.44x = 10,219.99
  5. Step 5: Solve for x
    x = 10,219.99/110.44
  6. Step 6: Final answer
    x = 92.54

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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.