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Finding the Fourth Proportional to 55.41, 83.19 and 54.84

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Solution

The fourth proportional to 55.41, 83.19 and 54.84 is: 82.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.41 : 83.19 = 54.84 : x
  2. Step 2: Convert to fraction form
    55.41/83.19 = 54.84/x
  3. Step 3: Cross multiply
    55.41x = 83.19 × 54.84
  4. Step 4: Simplify right side
    55.41x = 4,561.93
  5. Step 5: Solve for x
    x = 4,561.93/55.41
  6. Step 6: Final answer
    x = 82.33

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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.