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Finding the Fourth Proportional to 34.06, 47.02 and 21.78

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Solution

The fourth proportional to 34.06, 47.02 and 21.78 is: 30.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.06 : 47.02 = 21.78 : x
  2. Step 2: Convert to fraction form
    34.06/47.02 = 21.78/x
  3. Step 3: Cross multiply
    34.06x = 47.02 × 21.78
  4. Step 4: Simplify right side
    34.06x = 1,024.10
  5. Step 5: Solve for x
    x = 1,024.10/34.06
  6. Step 6: Final answer
    x = 30.07

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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.