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Finding the Fourth Proportional to 53.97, 74.44 and 37.60

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Solution

The fourth proportional to 53.97, 74.44 and 37.60 is: 51.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.97 : 74.44 = 37.60 : x
  2. Step 2: Convert to fraction form
    53.97/74.44 = 37.60/x
  3. Step 3: Cross multiply
    53.97x = 74.44 × 37.60
  4. Step 4: Simplify right side
    53.97x = 2,798.94
  5. Step 5: Solve for x
    x = 2,798.94/53.97
  6. Step 6: Final answer
    x = 51.86

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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.