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Finding the Fourth Proportional to 26.04, 38.76 and 25.86

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Solution

The fourth proportional to 26.04, 38.76 and 25.86 is: 38.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.04 : 38.76 = 25.86 : x
  2. Step 2: Convert to fraction form
    26.04/38.76 = 25.86/x
  3. Step 3: Cross multiply
    26.04x = 38.76 × 25.86
  4. Step 4: Simplify right side
    26.04x = 1,002.33
  5. Step 5: Solve for x
    x = 1,002.33/26.04
  6. Step 6: Final answer
    x = 38.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.