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Finding the Fourth Proportional to 59.81, 89.21 and 54.56

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Solution

The fourth proportional to 59.81, 89.21 and 54.56 is: 81.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.81 : 89.21 = 54.56 : x
  2. Step 2: Convert to fraction form
    59.81/89.21 = 54.56/x
  3. Step 3: Cross multiply
    59.81x = 89.21 × 54.56
  4. Step 4: Simplify right side
    59.81x = 4,866.58
  5. Step 5: Solve for x
    x = 4,866.58/59.81
  6. Step 6: Final answer
    x = 81.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.