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Finding the Fourth Proportional to 26.53, 39.89 and 25.92

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Solution

The fourth proportional to 26.53, 39.89 and 25.92 is: 38.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.53 : 39.89 = 25.92 : x
  2. Step 2: Convert to fraction form
    26.53/39.89 = 25.92/x
  3. Step 3: Cross multiply
    26.53x = 39.89 × 25.92
  4. Step 4: Simplify right side
    26.53x = 1,034.01
  5. Step 5: Solve for x
    x = 1,034.01/26.53
  6. Step 6: Final answer
    x = 38.98

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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.