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Finding the Fourth Proportional to 67.97, 93.73 and 54.13

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Solution

The fourth proportional to 67.97, 93.73 and 54.13 is: 74.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.97 : 93.73 = 54.13 : x
  2. Step 2: Convert to fraction form
    67.97/93.73 = 54.13/x
  3. Step 3: Cross multiply
    67.97x = 93.73 × 54.13
  4. Step 4: Simplify right side
    67.97x = 5,073.60
  5. Step 5: Solve for x
    x = 5,073.60/67.97
  6. Step 6: Final answer
    x = 74.64

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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.