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Finding the Fourth Proportional to 44.73, 61.75 and 30.00

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Solution

The fourth proportional to 44.73, 61.75 and 30.00 is: 41.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.73 : 61.75 = 30.00 : x
  2. Step 2: Convert to fraction form
    44.73/61.75 = 30.00/x
  3. Step 3: Cross multiply
    44.73x = 61.75 × 30.00
  4. Step 4: Simplify right side
    44.73x = 1,852.19
  5. Step 5: Solve for x
    x = 1,852.19/44.73
  6. Step 6: Final answer
    x = 41.41

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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.