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Finding the Fourth Proportional to 7.75, 11.57 and 7.08

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Solution

The fourth proportional to 7.75, 11.57 and 7.08 is: 10.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.75 : 11.57 = 7.08 : x
  2. Step 2: Convert to fraction form
    7.75/11.57 = 7.08/x
  3. Step 3: Cross multiply
    7.75x = 11.57 × 7.08
  4. Step 4: Simplify right side
    7.75x = 81.92
  5. Step 5: Solve for x
    x = 81.92/7.75
  6. Step 6: Final answer
    x = 10.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.