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Finding the Fourth Proportional to 7.01, 10.45 and 6.75

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Solution

The fourth proportional to 7.01, 10.45 and 6.75 is: 10.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.01 : 10.45 = 6.75 : x
  2. Step 2: Convert to fraction form
    7.01/10.45 = 6.75/x
  3. Step 3: Cross multiply
    7.01x = 10.45 × 6.75
  4. Step 4: Simplify right side
    7.01x = 70.54
  5. Step 5: Solve for x
    x = 70.54/7.01
  6. Step 6: Final answer
    x = 10.06

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