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Finding the Fourth Proportional to 44.62, 61.61 and 31.72

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Solution

The fourth proportional to 44.62, 61.61 and 31.72 is: 43.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.62 : 61.61 = 31.72 : x
  2. Step 2: Convert to fraction form
    44.62/61.61 = 31.72/x
  3. Step 3: Cross multiply
    44.62x = 61.61 × 31.72
  4. Step 4: Simplify right side
    44.62x = 1,954.27
  5. Step 5: Solve for x
    x = 1,954.27/44.62
  6. Step 6: Final answer
    x = 43.80

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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.