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Finding the Fourth Proportional to 54.98, 82.53 and 40.53

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Solution

The fourth proportional to 54.98, 82.53 and 40.53 is: 60.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.98 : 82.53 = 40.53 : x
  2. Step 2: Convert to fraction form
    54.98/82.53 = 40.53/x
  3. Step 3: Cross multiply
    54.98x = 82.53 × 40.53
  4. Step 4: Simplify right side
    54.98x = 3,344.94
  5. Step 5: Solve for x
    x = 3,344.94/54.98
  6. Step 6: Final answer
    x = 60.84

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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.