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Finding the Fourth Proportional to 48.41, 72.46 and 41.66

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Solution

The fourth proportional to 48.41, 72.46 and 41.66 is: 62.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.41 : 72.46 = 41.66 : x
  2. Step 2: Convert to fraction form
    48.41/72.46 = 41.66/x
  3. Step 3: Cross multiply
    48.41x = 72.46 × 41.66
  4. Step 4: Simplify right side
    48.41x = 3,018.68
  5. Step 5: Solve for x
    x = 3,018.68/48.41
  6. Step 6: Final answer
    x = 62.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.