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Finding the Fourth Proportional to 109.98, 165 and 37.84

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Solution

The fourth proportional to 109.98, 165 and 37.84 is: 56.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.98 : 165 = 37.84 : x
  2. Step 2: Convert to fraction form
    109.98/165 = 37.84/x
  3. Step 3: Cross multiply
    109.98x = 165 × 37.84
  4. Step 4: Simplify right side
    109.98x = 6,243.81
  5. Step 5: Solve for x
    x = 6,243.81/109.98
  6. Step 6: Final answer
    x = 56.77

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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.