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Finding the Fourth Proportional to 33.95, 46.98 and 33

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Solution

The fourth proportional to 33.95, 46.98 and 33 is: 45.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.95 : 46.98 = 33 : x
  2. Step 2: Convert to fraction form
    33.95/46.98 = 33/x
  3. Step 3: Cross multiply
    33.95x = 46.98 × 33
  4. Step 4: Simplify right side
    33.95x = 1,550.34
  5. Step 5: Solve for x
    x = 1,550.34/33.95
  6. Step 6: Final answer
    x = 45.67

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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.