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Finding the Fourth Proportional to 73.96, 101.97 and 54.25

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Solution

The fourth proportional to 73.96, 101.97 and 54.25 is: 74.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.96 : 101.97 = 54.25 : x
  2. Step 2: Convert to fraction form
    73.96/101.97 = 54.25/x
  3. Step 3: Cross multiply
    73.96x = 101.97 × 54.25
  4. Step 4: Simplify right side
    73.96x = 5,531.87
  5. Step 5: Solve for x
    x = 5,531.87/73.96
  6. Step 6: Final answer
    x = 74.80

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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.