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Finding the Fourth Proportional to 54.75, 81.99 and 53.13

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Solution

The fourth proportional to 54.75, 81.99 and 53.13 is: 79.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 81.99 = 53.13 : x
  2. Step 2: Convert to fraction form
    54.75/81.99 = 53.13/x
  3. Step 3: Cross multiply
    54.75x = 81.99 × 53.13
  4. Step 4: Simplify right side
    54.75x = 4,356.17
  5. Step 5: Solve for x
    x = 4,356.17/54.75
  6. Step 6: Final answer
    x = 79.56

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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.