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Finding the Fourth Proportional to 26.43, 39.42 and 26.07

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Solution

The fourth proportional to 26.43, 39.42 and 26.07 is: 38.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.43 : 39.42 = 26.07 : x
  2. Step 2: Convert to fraction form
    26.43/39.42 = 26.07/x
  3. Step 3: Cross multiply
    26.43x = 39.42 × 26.07
  4. Step 4: Simplify right side
    26.43x = 1,027.68
  5. Step 5: Solve for x
    x = 1,027.68/26.43
  6. Step 6: Final answer
    x = 38.88

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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.