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Finding the Fourth Proportional to 33.22, 45.91 and 29.67

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Solution

The fourth proportional to 33.22, 45.91 and 29.67 is: 41.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.22 : 45.91 = 29.67 : x
  2. Step 2: Convert to fraction form
    33.22/45.91 = 29.67/x
  3. Step 3: Cross multiply
    33.22x = 45.91 × 29.67
  4. Step 4: Simplify right side
    33.22x = 1,362.15
  5. Step 5: Solve for x
    x = 1,362.15/33.22
  6. Step 6: Final answer
    x = 41.00

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