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Finding the Fourth Proportional to 25.86, 35.70 and 25.11

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Solution

The fourth proportional to 25.86, 35.70 and 25.11 is: 34.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.86 : 35.70 = 25.11 : x
  2. Step 2: Convert to fraction form
    25.86/35.70 = 25.11/x
  3. Step 3: Cross multiply
    25.86x = 35.70 × 25.11
  4. Step 4: Simplify right side
    25.86x = 896.43
  5. Step 5: Solve for x
    x = 896.43/25.86
  6. Step 6: Final answer
    x = 34.66

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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.