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Finding the Fourth Proportional to 26.48, 39.74 and 12.96

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Solution

The fourth proportional to 26.48, 39.74 and 12.96 is: 19.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.48 : 39.74 = 12.96 : x
  2. Step 2: Convert to fraction form
    26.48/39.74 = 12.96/x
  3. Step 3: Cross multiply
    26.48x = 39.74 × 12.96
  4. Step 4: Simplify right side
    26.48x = 515.03
  5. Step 5: Solve for x
    x = 515.03/26.48
  6. Step 6: Final answer
    x = 19.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.