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Finding the Fourth Proportional to 26.23, 39.09 and 25.38

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Solution

The fourth proportional to 26.23, 39.09 and 25.38 is: 37.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.23 : 39.09 = 25.38 : x
  2. Step 2: Convert to fraction form
    26.23/39.09 = 25.38/x
  3. Step 3: Cross multiply
    26.23x = 39.09 × 25.38
  4. Step 4: Simplify right side
    26.23x = 992.10
  5. Step 5: Solve for x
    x = 992.10/26.23
  6. Step 6: Final answer
    x = 37.82

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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.