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Finding the Fourth Proportional to 26.63, 36.76 and 16.27

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Solution

The fourth proportional to 26.63, 36.76 and 16.27 is: 22.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.63 : 36.76 = 16.27 : x
  2. Step 2: Convert to fraction form
    26.63/36.76 = 16.27/x
  3. Step 3: Cross multiply
    26.63x = 36.76 × 16.27
  4. Step 4: Simplify right side
    26.63x = 598.04
  5. Step 5: Solve for x
    x = 598.04/26.63
  6. Step 6: Final answer
    x = 22.45

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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.