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Finding the Fourth Proportional to 33.10, 45.69 and 27.02

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Solution

The fourth proportional to 33.10, 45.69 and 27.02 is: 37.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.10 : 45.69 = 27.02 : x
  2. Step 2: Convert to fraction form
    33.10/45.69 = 27.02/x
  3. Step 3: Cross multiply
    33.10x = 45.69 × 27.02
  4. Step 4: Simplify right side
    33.10x = 1,234.66
  5. Step 5: Solve for x
    x = 1,234.66/33.10
  6. Step 6: Final answer
    x = 37.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.