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Finding the Fourth Proportional to 24.80, 37.24 and 21.76

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Solution

The fourth proportional to 24.80, 37.24 and 21.76 is: 32.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.80 : 37.24 = 21.76 : x
  2. Step 2: Convert to fraction form
    24.80/37.24 = 21.76/x
  3. Step 3: Cross multiply
    24.80x = 37.24 × 21.76
  4. Step 4: Simplify right side
    24.80x = 810.19
  5. Step 5: Solve for x
    x = 810.19/24.80
  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.