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Finding the Fourth Proportional to 24.62, 36.75 and 23

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Solution

The fourth proportional to 24.62, 36.75 and 23 is: 34.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.62 : 36.75 = 23 : x
  2. Step 2: Convert to fraction form
    24.62/36.75 = 23/x
  3. Step 3: Cross multiply
    24.62x = 36.75 × 23
  4. Step 4: Simplify right side
    24.62x = 845.25
  5. Step 5: Solve for x
    x = 845.25/24.62
  6. Step 6: Final answer
    x = 34.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.