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Finding the Fourth Proportional to 33.88, 46.76 and 33.80

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Solution

The fourth proportional to 33.88, 46.76 and 33.80 is: 46.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.88 : 46.76 = 33.80 : x
  2. Step 2: Convert to fraction form
    33.88/46.76 = 33.80/x
  3. Step 3: Cross multiply
    33.88x = 46.76 × 33.80
  4. Step 4: Simplify right side
    33.88x = 1,580.49
  5. Step 5: Solve for x
    x = 1,580.49/33.88
  6. Step 6: Final answer
    x = 46.65

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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.