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Finding the Fourth Proportional to 44.73, 61.61 and 37.80

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Solution

The fourth proportional to 44.73, 61.61 and 37.80 is: 52.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.73 : 61.61 = 37.80 : x
  2. Step 2: Convert to fraction form
    44.73/61.61 = 37.80/x
  3. Step 3: Cross multiply
    44.73x = 61.61 × 37.80
  4. Step 4: Simplify right side
    44.73x = 2,328.67
  5. Step 5: Solve for x
    x = 2,328.67/44.73
  6. Step 6: Final answer
    x = 52.06

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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.