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Finding the Fourth Proportional to 5.54, 8.27 and 4.46

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Solution

The fourth proportional to 5.54, 8.27 and 4.46 is: 6.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.54 : 8.27 = 4.46 : x
  2. Step 2: Convert to fraction form
    5.54/8.27 = 4.46/x
  3. Step 3: Cross multiply
    5.54x = 8.27 × 4.46
  4. Step 4: Simplify right side
    5.54x = 36.88
  5. Step 5: Solve for x
    x = 36.88/5.54
  6. Step 6: Final answer
    x = 6.66

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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.