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Finding the Fourth Proportional to 10.57, 15.82 and 8.02

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Solution

The fourth proportional to 10.57, 15.82 and 8.02 is: 12.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.57 : 15.82 = 8.02 : x
  2. Step 2: Convert to fraction form
    10.57/15.82 = 8.02/x
  3. Step 3: Cross multiply
    10.57x = 15.82 × 8.02
  4. Step 4: Simplify right side
    10.57x = 126.88
  5. Step 5: Solve for x
    x = 126.88/10.57
  6. Step 6: Final answer
    x = 12.01

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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.