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Finding the Fourth Proportional to 25.26, 38.09 and 24.32

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Solution

The fourth proportional to 25.26, 38.09 and 24.32 is: 36.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.26 : 38.09 = 24.32 : x
  2. Step 2: Convert to fraction form
    25.26/38.09 = 24.32/x
  3. Step 3: Cross multiply
    25.26x = 38.09 × 24.32
  4. Step 4: Simplify right side
    25.26x = 926.04
  5. Step 5: Solve for x
    x = 926.04/25.26
  6. Step 6: Final answer
    x = 36.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.