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Finding the Fourth Proportional to 24.34, 36.50 and 23.80

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Solution

The fourth proportional to 24.34, 36.50 and 23.80 is: 35.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.34 : 36.50 = 23.80 : x
  2. Step 2: Convert to fraction form
    24.34/36.50 = 23.80/x
  3. Step 3: Cross multiply
    24.34x = 36.50 × 23.80
  4. Step 4: Simplify right side
    24.34x = 868.70
  5. Step 5: Solve for x
    x = 868.70/24.34
  6. Step 6: Final answer
    x = 35.69

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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.