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Finding the Fourth Proportional to 47.61, 66.00 and 45.41

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Solution

The fourth proportional to 47.61, 66.00 and 45.41 is: 62.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.61 : 66.00 = 45.41 : x
  2. Step 2: Convert to fraction form
    47.61/66.00 = 45.41/x
  3. Step 3: Cross multiply
    47.61x = 66.00 × 45.41
  4. Step 4: Simplify right side
    47.61x = 2,996.90
  5. Step 5: Solve for x
    x = 2,996.90/47.61
  6. Step 6: Final answer
    x = 62.95

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.