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Finding the Fourth Proportional to 34.69, 47.85 and 20.88

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Solution

The fourth proportional to 34.69, 47.85 and 20.88 is: 28.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.69 : 47.85 = 20.88 : x
  2. Step 2: Convert to fraction form
    34.69/47.85 = 20.88/x
  3. Step 3: Cross multiply
    34.69x = 47.85 × 20.88
  4. Step 4: Simplify right side
    34.69x = 999.11
  5. Step 5: Solve for x
    x = 999.11/34.69
  6. Step 6: Final answer
    x = 28.80

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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.