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Finding the Fourth Proportional to 54.82, 82.14 and 39.53

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Solution

The fourth proportional to 54.82, 82.14 and 39.53 is: 59.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.82 : 82.14 = 39.53 : x
  2. Step 2: Convert to fraction form
    54.82/82.14 = 39.53/x
  3. Step 3: Cross multiply
    54.82x = 82.14 × 39.53
  4. Step 4: Simplify right side
    54.82x = 3,246.99
  5. Step 5: Solve for x
    x = 3,246.99/54.82
  6. Step 6: Final answer
    x = 59.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.