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Finding the Fourth Proportional to 81.62, 122.28 and 58.74

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Solution

The fourth proportional to 81.62, 122.28 and 58.74 is: 88.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.62 : 122.28 = 58.74 : x
  2. Step 2: Convert to fraction form
    81.62/122.28 = 58.74/x
  3. Step 3: Cross multiply
    81.62x = 122.28 × 58.74
  4. Step 4: Simplify right side
    81.62x = 7,183.23
  5. Step 5: Solve for x
    x = 7,183.23/81.62
  6. Step 6: Final answer
    x = 88.00

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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.