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Finding the Fourth Proportional to 109.97, 165.00 and 37.88

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Solution

The fourth proportional to 109.97, 165.00 and 37.88 is: 56.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.97 : 165.00 = 37.88 : x
  2. Step 2: Convert to fraction form
    109.97/165.00 = 37.88/x
  3. Step 3: Cross multiply
    109.97x = 165.00 × 37.88
  4. Step 4: Simplify right side
    109.97x = 6,250.14
  5. Step 5: Solve for x
    x = 6,250.14/109.97
  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.