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Finding the Fourth Proportional to 110, 165 and 37.90

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Solution

The fourth proportional to 110, 165 and 37.90 is: 56.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110 : 165 = 37.90 : x
  2. Step 2: Convert to fraction form
    110/165 = 37.90/x
  3. Step 3: Cross multiply
    110x = 165 × 37.90
  4. Step 4: Simplify right side
    110x = 6,252.68
  5. Step 5: Solve for x
    x = 6,252.68/110
  6. Step 6: Final answer
    x = 56.84

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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.