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Finding the Fourth Proportional to 80.85, 111.42 and 58.74

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Solution

The fourth proportional to 80.85, 111.42 and 58.74 is: 80.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.85 : 111.42 = 58.74 : x
  2. Step 2: Convert to fraction form
    80.85/111.42 = 58.74/x
  3. Step 3: Cross multiply
    80.85x = 111.42 × 58.74
  4. Step 4: Simplify right side
    80.85x = 6,544.81
  5. Step 5: Solve for x
    x = 6,544.81/80.85
  6. Step 6: Final answer
    x = 80.95

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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.