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Finding the Fourth Proportional to 7.64, 11.46 and 2.56

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Solution

The fourth proportional to 7.64, 11.46 and 2.56 is: 3.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.64 : 11.46 = 2.56 : x
  2. Step 2: Convert to fraction form
    7.64/11.46 = 2.56/x
  3. Step 3: Cross multiply
    7.64x = 11.46 × 2.56
  4. Step 4: Simplify right side
    7.64x = 29.35
  5. Step 5: Solve for x
    x = 29.35/7.64
  6. Step 6: Final answer
    x = 3.84

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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.