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Finding the Fourth Proportional to 47.09, 65.01 and 44.34

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Solution

The fourth proportional to 47.09, 65.01 and 44.34 is: 61.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.09 : 65.01 = 44.34 : x
  2. Step 2: Convert to fraction form
    47.09/65.01 = 44.34/x
  3. Step 3: Cross multiply
    47.09x = 65.01 × 44.34
  4. Step 4: Simplify right side
    47.09x = 2,882.54
  5. Step 5: Solve for x
    x = 2,882.54/47.09
  6. Step 6: Final answer
    x = 61.22

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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.