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Finding the Fourth Proportional to 7.22, 10.84 and 5.33

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Solution

The fourth proportional to 7.22, 10.84 and 5.33 is: 8.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.22 : 10.84 = 5.33 : x
  2. Step 2: Convert to fraction form
    7.22/10.84 = 5.33/x
  3. Step 3: Cross multiply
    7.22x = 10.84 × 5.33
  4. Step 4: Simplify right side
    7.22x = 57.70
  5. Step 5: Solve for x
    x = 57.70/7.22
  6. Step 6: Final answer
    x = 8.00

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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.