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Finding the Fourth Proportional to 4.54, 6.80 and 2.76

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Solution

The fourth proportional to 4.54, 6.80 and 2.76 is: 4.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.54 : 6.80 = 2.76 : x
  2. Step 2: Convert to fraction form
    4.54/6.80 = 2.76/x
  3. Step 3: Cross multiply
    4.54x = 6.80 × 2.76
  4. Step 4: Simplify right side
    4.54x = 18.77
  5. Step 5: Solve for x
    x = 18.77/4.54
  6. Step 6: Final answer
    x = 4.13

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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.