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Finding the Fourth Proportional to 3.75, 5.64 and 2.64

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Solution

The fourth proportional to 3.75, 5.64 and 2.64 is: 3.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.75 : 5.64 = 2.64 : x
  2. Step 2: Convert to fraction form
    3.75/5.64 = 2.64/x
  3. Step 3: Cross multiply
    3.75x = 5.64 × 2.64
  4. Step 4: Simplify right side
    3.75x = 14.88
  5. Step 5: Solve for x
    x = 14.88/3.75
  6. Step 6: Final answer
    x = 3.97

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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.