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Finding the Fourth Proportional to 54.69, 82.50 and 53.79

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Solution

The fourth proportional to 54.69, 82.50 and 53.79 is: 81.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.69 : 82.50 = 53.79 : x
  2. Step 2: Convert to fraction form
    54.69/82.50 = 53.79/x
  3. Step 3: Cross multiply
    54.69x = 82.50 × 53.79
  4. Step 4: Simplify right side
    54.69x = 4,437.68
  5. Step 5: Solve for x
    x = 4,437.68/54.69
  6. Step 6: Final answer
    x = 81.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.