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Finding the Fourth Proportional to 75.94, 104.80 and 44.86

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Solution

The fourth proportional to 75.94, 104.80 and 44.86 is: 61.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.94 : 104.80 = 44.86 : x
  2. Step 2: Convert to fraction form
    75.94/104.80 = 44.86/x
  3. Step 3: Cross multiply
    75.94x = 104.80 × 44.86
  4. Step 4: Simplify right side
    75.94x = 4,701.33
  5. Step 5: Solve for x
    x = 4,701.33/75.94
  6. Step 6: Final answer
    x = 61.91

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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.