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Finding the Fourth Proportional to 44.76, 61.78 and 27.50

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Solution

The fourth proportional to 44.76, 61.78 and 27.50 is: 37.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.76 : 61.78 = 27.50 : x
  2. Step 2: Convert to fraction form
    44.76/61.78 = 27.50/x
  3. Step 3: Cross multiply
    44.76x = 61.78 × 27.50
  4. Step 4: Simplify right side
    44.76x = 1,698.95
  5. Step 5: Solve for x
    x = 1,698.95/44.76
  6. Step 6: Final answer
    x = 37.96

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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.