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Finding the Fourth Proportional to 55.34, 83.22 and 54.67

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Solution

The fourth proportional to 55.34, 83.22 and 54.67 is: 82.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.34 : 83.22 = 54.67 : x
  2. Step 2: Convert to fraction form
    55.34/83.22 = 54.67/x
  3. Step 3: Cross multiply
    55.34x = 83.22 × 54.67
  4. Step 4: Simplify right side
    55.34x = 4,548.95
  5. Step 5: Solve for x
    x = 4,548.95/55.34
  6. Step 6: Final answer
    x = 82.20

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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.