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Finding the Fourth Proportional to 6.68, 10.01 and 4.67

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Solution

The fourth proportional to 6.68, 10.01 and 4.67 is: 6.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.68 : 10.01 = 4.67 : x
  2. Step 2: Convert to fraction form
    6.68/10.01 = 4.67/x
  3. Step 3: Cross multiply
    6.68x = 10.01 × 4.67
  4. Step 4: Simplify right side
    6.68x = 46.67
  5. Step 5: Solve for x
    x = 46.67/6.68
  6. Step 6: Final answer
    x = 6.99

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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.