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Finding the Fourth Proportional to 55.10, 82.22 and 54.80

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Solution

The fourth proportional to 55.10, 82.22 and 54.80 is: 81.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.10 : 82.22 = 54.80 : x
  2. Step 2: Convert to fraction form
    55.10/82.22 = 54.80/x
  3. Step 3: Cross multiply
    55.10x = 82.22 × 54.80
  4. Step 4: Simplify right side
    55.10x = 4,505.66
  5. Step 5: Solve for x
    x = 4,505.66/55.10
  6. Step 6: Final answer
    x = 81.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.