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Finding the Fourth Proportional to 5.46, 8.20 and 5.42

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Solution

The fourth proportional to 5.46, 8.20 and 5.42 is: 8.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.46 : 8.20 = 5.42 : x
  2. Step 2: Convert to fraction form
    5.46/8.20 = 5.42/x
  3. Step 3: Cross multiply
    5.46x = 8.20 × 5.42
  4. Step 4: Simplify right side
    5.46x = 44.44
  5. Step 5: Solve for x
    x = 44.44/5.46
  6. Step 6: Final answer
    x = 8.14

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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.