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Finding the Fourth Proportional to 7.05, 9.65 and 6.88

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Solution

The fourth proportional to 7.05, 9.65 and 6.88 is: 9.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.05 : 9.65 = 6.88 : x
  2. Step 2: Convert to fraction form
    7.05/9.65 = 6.88/x
  3. Step 3: Cross multiply
    7.05x = 9.65 × 6.88
  4. Step 4: Simplify right side
    7.05x = 66.40
  5. Step 5: Solve for x
    x = 66.40/7.05
  6. Step 6: Final answer
    x = 9.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.