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Finding the Fourth Proportional to 24.07, 35.96 and 18.35

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Solution

The fourth proportional to 24.07, 35.96 and 18.35 is: 27.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.07 : 35.96 = 18.35 : x
  2. Step 2: Convert to fraction form
    24.07/35.96 = 18.35/x
  3. Step 3: Cross multiply
    24.07x = 35.96 × 18.35
  4. Step 4: Simplify right side
    24.07x = 659.59
  5. Step 5: Solve for x
    x = 659.59/24.07
  6. Step 6: Final answer
    x = 27.41

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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.