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Finding the Fourth Proportional to 24.63, 36.75 and 23.03

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Solution

The fourth proportional to 24.63, 36.75 and 23.03 is: 34.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.63 : 36.75 = 23.03 : x
  2. Step 2: Convert to fraction form
    24.63/36.75 = 23.03/x
  3. Step 3: Cross multiply
    24.63x = 36.75 × 23.03
  4. Step 4: Simplify right side
    24.63x = 846.60
  5. Step 5: Solve for x
    x = 846.60/24.63
  6. Step 6: Final answer
    x = 34.37

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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.