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Finding the Fourth Proportional to 24.26, 36.40 and 9.05

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Solution

The fourth proportional to 24.26, 36.40 and 9.05 is: 13.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.26 : 36.40 = 9.05 : x
  2. Step 2: Convert to fraction form
    24.26/36.40 = 9.05/x
  3. Step 3: Cross multiply
    24.26x = 36.40 × 9.05
  4. Step 4: Simplify right side
    24.26x = 329.22
  5. Step 5: Solve for x
    x = 329.22/24.26
  6. Step 6: Final answer
    x = 13.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.