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Finding the Fourth Proportional to 5.75, 7.99 and 5.64

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Solution

The fourth proportional to 5.75, 7.99 and 5.64 is: 7.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.75 : 7.99 = 5.64 : x
  2. Step 2: Convert to fraction form
    5.75/7.99 = 5.64/x
  3. Step 3: Cross multiply
    5.75x = 7.99 × 5.64
  4. Step 4: Simplify right side
    5.75x = 45.06
  5. Step 5: Solve for x
    x = 45.06/5.75
  6. Step 6: Final answer
    x = 7.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.