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Finding the Fourth Proportional to 24.41, 36.60 and 11.57

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Solution

The fourth proportional to 24.41, 36.60 and 11.57 is: 17.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.41 : 36.60 = 11.57 : x
  2. Step 2: Convert to fraction form
    24.41/36.60 = 11.57/x
  3. Step 3: Cross multiply
    24.41x = 36.60 × 11.57
  4. Step 4: Simplify right side
    24.41x = 423.46
  5. Step 5: Solve for x
    x = 423.46/24.41
  6. Step 6: Final answer
    x = 17.35

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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.