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Finding the Fourth Proportional to 10.73, 16.10 and 2.72

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Solution

The fourth proportional to 10.73, 16.10 and 2.72 is: 4.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.73 : 16.10 = 2.72 : x
  2. Step 2: Convert to fraction form
    10.73/16.10 = 2.72/x
  3. Step 3: Cross multiply
    10.73x = 16.10 × 2.72
  4. Step 4: Simplify right side
    10.73x = 43.78
  5. Step 5: Solve for x
    x = 43.78/10.73
  6. Step 6: Final answer
    x = 4.08

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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.