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Finding the Fourth Proportional to 26.16, 36.24 and 25.92

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Solution

The fourth proportional to 26.16, 36.24 and 25.92 is: 35.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.16 : 36.24 = 25.92 : x
  2. Step 2: Convert to fraction form
    26.16/36.24 = 25.92/x
  3. Step 3: Cross multiply
    26.16x = 36.24 × 25.92
  4. Step 4: Simplify right side
    26.16x = 939.34
  5. Step 5: Solve for x
    x = 939.34/26.16
  6. Step 6: Final answer
    x = 35.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.