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Finding the Fourth Proportional to 16.39, 22.64 and 12.77

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Solution

The fourth proportional to 16.39, 22.64 and 12.77 is: 17.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.39 : 22.64 = 12.77 : x
  2. Step 2: Convert to fraction form
    16.39/22.64 = 12.77/x
  3. Step 3: Cross multiply
    16.39x = 22.64 × 12.77
  4. Step 4: Simplify right side
    16.39x = 289.11
  5. Step 5: Solve for x
    x = 289.11/16.39
  6. Step 6: Final answer
    x = 17.64

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Why These Related Problems?

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