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Finding the Fourth Proportional to 76.55, 105.62 and 43.81

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Solution

The fourth proportional to 76.55, 105.62 and 43.81 is: 60.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.55 : 105.62 = 43.81 : x
  2. Step 2: Convert to fraction form
    76.55/105.62 = 43.81/x
  3. Step 3: Cross multiply
    76.55x = 105.62 × 43.81
  4. Step 4: Simplify right side
    76.55x = 4,626.73
  5. Step 5: Solve for x
    x = 4,626.73/76.55
  6. Step 6: Final answer
    x = 60.44

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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.