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Finding the Fourth Proportional to 24.89, 37.11 and 23.75

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Solution

The fourth proportional to 24.89, 37.11 and 23.75 is: 35.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.89 : 37.11 = 23.75 : x
  2. Step 2: Convert to fraction form
    24.89/37.11 = 23.75/x
  3. Step 3: Cross multiply
    24.89x = 37.11 × 23.75
  4. Step 4: Simplify right side
    24.89x = 881.36
  5. Step 5: Solve for x
    x = 881.36/24.89
  6. Step 6: Final answer
    x = 35.41

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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.