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Finding the Fourth Proportional to 41.00, 56.63 and 33.80

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Solution

The fourth proportional to 41.00, 56.63 and 33.80 is: 46.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.00 : 56.63 = 33.80 : x
  2. Step 2: Convert to fraction form
    41.00/56.63 = 33.80/x
  3. Step 3: Cross multiply
    41.00x = 56.63 × 33.80
  4. Step 4: Simplify right side
    41.00x = 1,913.90
  5. Step 5: Solve for x
    x = 1,913.90/41.00
  6. Step 6: Final answer
    x = 46.69

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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.