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Finding the Fourth Proportional to 25.65, 38.26 and 24.37

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Solution

The fourth proportional to 25.65, 38.26 and 24.37 is: 36.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.65 : 38.26 = 24.37 : x
  2. Step 2: Convert to fraction form
    25.65/38.26 = 24.37/x
  3. Step 3: Cross multiply
    25.65x = 38.26 × 24.37
  4. Step 4: Simplify right side
    25.65x = 932.19
  5. Step 5: Solve for x
    x = 932.19/25.65
  6. Step 6: Final answer
    x = 36.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.