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Finding the Fourth Proportional to 13.55, 20.31 and 6.77

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Solution

The fourth proportional to 13.55, 20.31 and 6.77 is: 10.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.55 : 20.31 = 6.77 : x
  2. Step 2: Convert to fraction form
    13.55/20.31 = 6.77/x
  3. Step 3: Cross multiply
    13.55x = 20.31 × 6.77
  4. Step 4: Simplify right side
    13.55x = 137.40
  5. Step 5: Solve for x
    x = 137.40/13.55
  6. Step 6: Final answer
    x = 10.14

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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.