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Finding the Fourth Proportional to 31.86, 47.75 and 19.03

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Solution

The fourth proportional to 31.86, 47.75 and 19.03 is: 28.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.86 : 47.75 = 19.03 : x
  2. Step 2: Convert to fraction form
    31.86/47.75 = 19.03/x
  3. Step 3: Cross multiply
    31.86x = 47.75 × 19.03
  4. Step 4: Simplify right side
    31.86x = 908.68
  5. Step 5: Solve for x
    x = 908.68/31.86
  6. Step 6: Final answer
    x = 28.52

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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.