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Finding the Fourth Proportional to 47.09, 65.00 and 33.31

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Solution

The fourth proportional to 47.09, 65.00 and 33.31 is: 45.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.09 : 65.00 = 33.31 : x
  2. Step 2: Convert to fraction form
    47.09/65.00 = 33.31/x
  3. Step 3: Cross multiply
    47.09x = 65.00 × 33.31
  4. Step 4: Simplify right side
    47.09x = 2,165.31
  5. Step 5: Solve for x
    x = 2,165.31/47.09
  6. Step 6: Final answer
    x = 45.98

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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.