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Finding the Fourth Proportional to 54.99, 82.35 and 37.82

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Solution

The fourth proportional to 54.99, 82.35 and 37.82 is: 56.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.99 : 82.35 = 37.82 : x
  2. Step 2: Convert to fraction form
    54.99/82.35 = 37.82/x
  3. Step 3: Cross multiply
    54.99x = 82.35 × 37.82
  4. Step 4: Simplify right side
    54.99x = 3,114.68
  5. Step 5: Solve for x
    x = 3,114.68/54.99
  6. Step 6: Final answer
    x = 56.64

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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.