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Finding the Fourth Proportional to 4.68, 7.01 and 1.82

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Solution

The fourth proportional to 4.68, 7.01 and 1.82 is: 2.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.68 : 7.01 = 1.82 : x
  2. Step 2: Convert to fraction form
    4.68/7.01 = 1.82/x
  3. Step 3: Cross multiply
    4.68x = 7.01 × 1.82
  4. Step 4: Simplify right side
    4.68x = 12.78
  5. Step 5: Solve for x
    x = 12.78/4.68
  6. Step 6: Final answer
    x = 2.73

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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.