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Finding the Fourth Proportional to 34.15, 47.12 and 19.59

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Solution

The fourth proportional to 34.15, 47.12 and 19.59 is: 27.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.15 : 47.12 = 19.59 : x
  2. Step 2: Convert to fraction form
    34.15/47.12 = 19.59/x
  3. Step 3: Cross multiply
    34.15x = 47.12 × 19.59
  4. Step 4: Simplify right side
    34.15x = 922.75
  5. Step 5: Solve for x
    x = 922.75/34.15
  6. Step 6: Final answer
    x = 27.02

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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.