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Finding the Fourth Proportional to 4.44, 6.64 and 3.10

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Solution

The fourth proportional to 4.44, 6.64 and 3.10 is: 4.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.44 : 6.64 = 3.10 : x
  2. Step 2: Convert to fraction form
    4.44/6.64 = 3.10/x
  3. Step 3: Cross multiply
    4.44x = 6.64 × 3.10
  4. Step 4: Simplify right side
    4.44x = 20.58
  5. Step 5: Solve for x
    x = 20.58/4.44
  6. Step 6: Final answer
    x = 4.64

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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.