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Finding the Fourth Proportional to 110.55, 165.84 and 38.42

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Solution

The fourth proportional to 110.55, 165.84 and 38.42 is: 57.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.55 : 165.84 = 38.42 : x
  2. Step 2: Convert to fraction form
    110.55/165.84 = 38.42/x
  3. Step 3: Cross multiply
    110.55x = 165.84 × 38.42
  4. Step 4: Simplify right side
    110.55x = 6,371.57
  5. Step 5: Solve for x
    x = 6,371.57/110.55
  6. Step 6: Final answer
    x = 57.64

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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.