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Finding the Fourth Proportional to 22.52, 33.64 and 20.00

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Solution

The fourth proportional to 22.52, 33.64 and 20.00 is: 29.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.52 : 33.64 = 20.00 : x
  2. Step 2: Convert to fraction form
    22.52/33.64 = 20.00/x
  3. Step 3: Cross multiply
    22.52x = 33.64 × 20.00
  4. Step 4: Simplify right side
    22.52x = 672.53
  5. Step 5: Solve for x
    x = 672.53/22.52
  6. Step 6: Final answer
    x = 29.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.