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Finding the Fourth Proportional to 25.86, 35.74 and 21.54

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Solution

The fourth proportional to 25.86, 35.74 and 21.54 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.86 : 35.74 = 21.54 : x
  2. Step 2: Convert to fraction form
    25.86/35.74 = 21.54/x
  3. Step 3: Cross multiply
    25.86x = 35.74 × 21.54
  4. Step 4: Simplify right side
    25.86x = 769.84
  5. Step 5: Solve for x
    x = 769.84/25.86
  6. Step 6: Final answer
    x = 29.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.