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Finding the Fourth Proportional to 26.28, 36.21 and 17.64

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Solution

The fourth proportional to 26.28, 36.21 and 17.64 is: 24.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.28 : 36.21 = 17.64 : x
  2. Step 2: Convert to fraction form
    26.28/36.21 = 17.64/x
  3. Step 3: Cross multiply
    26.28x = 36.21 × 17.64
  4. Step 4: Simplify right side
    26.28x = 638.74
  5. Step 5: Solve for x
    x = 638.74/26.28
  6. Step 6: Final answer
    x = 24.31

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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.