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Finding the Fourth Proportional to 47.09, 65.00 and 30.71

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Solution

The fourth proportional to 47.09, 65.00 and 30.71 is: 42.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.09 : 65.00 = 30.71 : x
  2. Step 2: Convert to fraction form
    47.09/65.00 = 30.71/x
  3. Step 3: Cross multiply
    47.09x = 65.00 × 30.71
  4. Step 4: Simplify right side
    47.09x = 1,996.00
  5. Step 5: Solve for x
    x = 1,996.00/47.09
  6. Step 6: Final answer
    x = 42.39

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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.