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Finding the Fourth Proportional to 24.02, 33.14 and 22.74

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Solution

The fourth proportional to 24.02, 33.14 and 22.74 is: 31.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.02 : 33.14 = 22.74 : x
  2. Step 2: Convert to fraction form
    24.02/33.14 = 22.74/x
  3. Step 3: Cross multiply
    24.02x = 33.14 × 22.74
  4. Step 4: Simplify right side
    24.02x = 753.60
  5. Step 5: Solve for x
    x = 753.60/24.02
  6. Step 6: Final answer
    x = 31.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.