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Finding the Fourth Proportional to 53.64, 73.99 and 37.25

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Solution

The fourth proportional to 53.64, 73.99 and 37.25 is: 51.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.64 : 73.99 = 37.25 : x
  2. Step 2: Convert to fraction form
    53.64/73.99 = 37.25/x
  3. Step 3: Cross multiply
    53.64x = 73.99 × 37.25
  4. Step 4: Simplify right side
    53.64x = 2,755.66
  5. Step 5: Solve for x
    x = 2,755.66/53.64
  6. Step 6: Final answer
    x = 51.37

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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.