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Finding the Fourth Proportional to 34.05, 51 and 21.20

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Solution

The fourth proportional to 34.05, 51 and 21.20 is: 31.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.05 : 51 = 21.20 : x
  2. Step 2: Convert to fraction form
    34.05/51 = 21.20/x
  3. Step 3: Cross multiply
    34.05x = 51 × 21.20
  4. Step 4: Simplify right side
    34.05x = 1,080.95
  5. Step 5: Solve for x
    x = 1,080.95/34.05
  6. Step 6: Final answer
    x = 31.75

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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.