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Finding the Fourth Proportional to 25.49, 34.89 and 24.67

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Solution

The fourth proportional to 25.49, 34.89 and 24.67 is: 33.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.49 : 34.89 = 24.67 : x
  2. Step 2: Convert to fraction form
    25.49/34.89 = 24.67/x
  3. Step 3: Cross multiply
    25.49x = 34.89 × 24.67
  4. Step 4: Simplify right side
    25.49x = 860.80
  5. Step 5: Solve for x
    x = 860.80/25.49
  6. Step 6: Final answer
    x = 33.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.