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Finding the Fourth Proportional to 42.06, 63.09 and 33.06

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Solution

The fourth proportional to 42.06, 63.09 and 33.06 is: 49.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.06 : 63.09 = 33.06 : x
  2. Step 2: Convert to fraction form
    42.06/63.09 = 33.06/x
  3. Step 3: Cross multiply
    42.06x = 63.09 × 33.06
  4. Step 4: Simplify right side
    42.06x = 2,085.76
  5. Step 5: Solve for x
    x = 2,085.76/42.06
  6. Step 6: Final answer
    x = 49.59

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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.