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Finding the Fourth Proportional to 54.86, 82.21 and 35.59

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Solution

The fourth proportional to 54.86, 82.21 and 35.59 is: 53.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.86 : 82.21 = 35.59 : x
  2. Step 2: Convert to fraction form
    54.86/82.21 = 35.59/x
  3. Step 3: Cross multiply
    54.86x = 82.21 × 35.59
  4. Step 4: Simplify right side
    54.86x = 2,925.65
  5. Step 5: Solve for x
    x = 2,925.65/54.86
  6. Step 6: Final answer
    x = 53.33

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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.