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Finding the Fourth Proportional to 24.02, 36.01 and 21.80

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Solution

The fourth proportional to 24.02, 36.01 and 21.80 is: 32.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.02 : 36.01 = 21.80 : x
  2. Step 2: Convert to fraction form
    24.02/36.01 = 21.80/x
  3. Step 3: Cross multiply
    24.02x = 36.01 × 21.80
  4. Step 4: Simplify right side
    24.02x = 785.02
  5. Step 5: Solve for x
    x = 785.02/24.02
  6. Step 6: Final answer
    x = 32.68

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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.