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Finding the Fourth Proportional to 16.77, 23.15 and 12.66

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Solution

The fourth proportional to 16.77, 23.15 and 12.66 is: 17.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.77 : 23.15 = 12.66 : x
  2. Step 2: Convert to fraction form
    16.77/23.15 = 12.66/x
  3. Step 3: Cross multiply
    16.77x = 23.15 × 12.66
  4. Step 4: Simplify right side
    16.77x = 293.08
  5. Step 5: Solve for x
    x = 293.08/16.77
  6. Step 6: Final answer
    x = 17.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.