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Finding the Fourth Proportional to 24.13, 35.97 and 24.09

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Solution

The fourth proportional to 24.13, 35.97 and 24.09 is: 35.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.13 : 35.97 = 24.09 : x
  2. Step 2: Convert to fraction form
    24.13/35.97 = 24.09/x
  3. Step 3: Cross multiply
    24.13x = 35.97 × 24.09
  4. Step 4: Simplify right side
    24.13x = 866.56
  5. Step 5: Solve for x
    x = 866.56/24.13
  6. Step 6: Final answer
    x = 35.91

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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.