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Finding the Fourth Proportional to 55.50, 83.25 and 54.83

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Solution

The fourth proportional to 55.50, 83.25 and 54.83 is: 82.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.50 : 83.25 = 54.83 : x
  2. Step 2: Convert to fraction form
    55.50/83.25 = 54.83/x
  3. Step 3: Cross multiply
    55.50x = 83.25 × 54.83
  4. Step 4: Simplify right side
    55.50x = 4,564.18
  5. Step 5: Solve for x
    x = 4,564.18/55.50
  6. Step 6: Final answer
    x = 82.24

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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.