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Finding the Fourth Proportional to 29.97, 41.35 and 20.78

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Solution

The fourth proportional to 29.97, 41.35 and 20.78 is: 28.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.97 : 41.35 = 20.78 : x
  2. Step 2: Convert to fraction form
    29.97/41.35 = 20.78/x
  3. Step 3: Cross multiply
    29.97x = 41.35 × 20.78
  4. Step 4: Simplify right side
    29.97x = 859.25
  5. Step 5: Solve for x
    x = 859.25/29.97
  6. Step 6: Final answer
    x = 28.67

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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.