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Finding the Fourth Proportional to 44.59, 61.41 and 34.22

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Solution

The fourth proportional to 44.59, 61.41 and 34.22 is: 47.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.59 : 61.41 = 34.22 : x
  2. Step 2: Convert to fraction form
    44.59/61.41 = 34.22/x
  3. Step 3: Cross multiply
    44.59x = 61.41 × 34.22
  4. Step 4: Simplify right side
    44.59x = 2,101.27
  5. Step 5: Solve for x
    x = 2,101.27/44.59
  6. Step 6: Final answer
    x = 47.13

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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.