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Finding the Fourth Proportional to 5.51, 8.22 and 4.84

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Solution

The fourth proportional to 5.51, 8.22 and 4.84 is: 7.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.51 : 8.22 = 4.84 : x
  2. Step 2: Convert to fraction form
    5.51/8.22 = 4.84/x
  3. Step 3: Cross multiply
    5.51x = 8.22 × 4.84
  4. Step 4: Simplify right side
    5.51x = 39.78
  5. Step 5: Solve for x
    x = 39.78/5.51
  6. Step 6: Final answer
    x = 7.22

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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.