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Finding the Fourth Proportional to 12.96, 18 and 12.77

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Solution

The fourth proportional to 12.96, 18 and 12.77 is: 17.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.96 : 18 = 12.77 : x
  2. Step 2: Convert to fraction form
    12.96/18 = 12.77/x
  3. Step 3: Cross multiply
    12.96x = 18 × 12.77
  4. Step 4: Simplify right side
    12.96x = 229.91
  5. Step 5: Solve for x
    x = 229.91/12.96
  6. Step 6: Final answer
    x = 17.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.