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Finding the Fourth Proportional to 22.30, 33.54 and 19.78

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Solution

The fourth proportional to 22.30, 33.54 and 19.78 is: 29.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.30 : 33.54 = 19.78 : x
  2. Step 2: Convert to fraction form
    22.30/33.54 = 19.78/x
  3. Step 3: Cross multiply
    22.30x = 33.54 × 19.78
  4. Step 4: Simplify right side
    22.30x = 663.42
  5. Step 5: Solve for x
    x = 663.42/22.30
  6. Step 6: Final answer
    x = 29.75

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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.