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Finding the Fourth Proportional to 110.54, 165.77 and 38.38

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Solution

The fourth proportional to 110.54, 165.77 and 38.38 is: 57.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.54 : 165.77 = 38.38 : x
  2. Step 2: Convert to fraction form
    110.54/165.77 = 38.38/x
  3. Step 3: Cross multiply
    110.54x = 165.77 × 38.38
  4. Step 4: Simplify right side
    110.54x = 6,361.23
  5. Step 5: Solve for x
    x = 6,361.23/110.54
  6. Step 6: Final answer
    x = 57.55

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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.