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Finding the Fourth Proportional to 4.81, 6.64 and 4.80

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Solution

The fourth proportional to 4.81, 6.64 and 4.80 is: 6.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.81 : 6.64 = 4.80 : x
  2. Step 2: Convert to fraction form
    4.81/6.64 = 4.80/x
  3. Step 3: Cross multiply
    4.81x = 6.64 × 4.80
  4. Step 4: Simplify right side
    4.81x = 31.87
  5. Step 5: Solve for x
    x = 31.87/4.81
  6. Step 6: Final answer
    x = 6.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.