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Finding the Fourth Proportional to 22.53, 33.81 and 13.53

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Solution

The fourth proportional to 22.53, 33.81 and 13.53 is: 20.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.53 : 33.81 = 13.53 : x
  2. Step 2: Convert to fraction form
    22.53/33.81 = 13.53/x
  3. Step 3: Cross multiply
    22.53x = 33.81 × 13.53
  4. Step 4: Simplify right side
    22.53x = 457.45
  5. Step 5: Solve for x
    x = 457.45/22.53
  6. Step 6: Final answer
    x = 20.30

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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.