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Finding the Fourth Proportional to 5.33, 8.00 and 2.66

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Solution

The fourth proportional to 5.33, 8.00 and 2.66 is: 3.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.33 : 8.00 = 2.66 : x
  2. Step 2: Convert to fraction form
    5.33/8.00 = 2.66/x
  3. Step 3: Cross multiply
    5.33x = 8.00 × 2.66
  4. Step 4: Simplify right side
    5.33x = 21.27
  5. Step 5: Solve for x
    x = 21.27/5.33
  6. Step 6: Final answer
    x = 3.99

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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.