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Finding the Fourth Proportional to 75.38, 103.97 and 55.94

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Solution

The fourth proportional to 75.38, 103.97 and 55.94 is: 77.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 103.97 = 55.94 : x
  2. Step 2: Convert to fraction form
    75.38/103.97 = 55.94/x
  3. Step 3: Cross multiply
    75.38x = 103.97 × 55.94
  4. Step 4: Simplify right side
    75.38x = 5,815.80
  5. Step 5: Solve for x
    x = 5,815.80/75.38
  6. Step 6: Final answer
    x = 77.15

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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.