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Finding the Fourth Proportional to 5.51, 8.23 and 4.56

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Solution

The fourth proportional to 5.51, 8.23 and 4.56 is: 6.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.51 : 8.23 = 4.56 : x
  2. Step 2: Convert to fraction form
    5.51/8.23 = 4.56/x
  3. Step 3: Cross multiply
    5.51x = 8.23 × 4.56
  4. Step 4: Simplify right side
    5.51x = 37.53
  5. Step 5: Solve for x
    x = 37.53/5.51
  6. Step 6: Final answer
    x = 6.81

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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.