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Finding the Fourth Proportional to 5.51, 8.30 and 4.63

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Solution

The fourth proportional to 5.51, 8.30 and 4.63 is: 6.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.51 : 8.30 = 4.63 : x
  2. Step 2: Convert to fraction form
    5.51/8.30 = 4.63/x
  3. Step 3: Cross multiply
    5.51x = 8.30 × 4.63
  4. Step 4: Simplify right side
    5.51x = 38.43
  5. Step 5: Solve for x
    x = 38.43/5.51
  6. Step 6: Final answer
    x = 6.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.