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Finding the Fourth Proportional to 110.32, 165.49 and 33.28

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Solution

The fourth proportional to 110.32, 165.49 and 33.28 is: 49.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.32 : 165.49 = 33.28 : x
  2. Step 2: Convert to fraction form
    110.32/165.49 = 33.28/x
  3. Step 3: Cross multiply
    110.32x = 165.49 × 33.28
  4. Step 4: Simplify right side
    110.32x = 5,507.01
  5. Step 5: Solve for x
    x = 5,507.01/110.32
  6. Step 6: Final answer
    x = 49.92

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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.