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Finding the Fourth Proportional to 5.51, 8.24 and 5.34

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Solution

The fourth proportional to 5.51, 8.24 and 5.34 is: 7.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.51 : 8.24 = 5.34 : x
  2. Step 2: Convert to fraction form
    5.51/8.24 = 5.34/x
  3. Step 3: Cross multiply
    5.51x = 8.24 × 5.34
  4. Step 4: Simplify right side
    5.51x = 43.96
  5. Step 5: Solve for x
    x = 43.96/5.51
  6. Step 6: Final answer
    x = 7.99

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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.