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Finding the Fourth Proportional to 75.27, 103.72 and 54.26

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Solution

The fourth proportional to 75.27, 103.72 and 54.26 is: 74.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.27 : 103.72 = 54.26 : x
  2. Step 2: Convert to fraction form
    75.27/103.72 = 54.26/x
  3. Step 3: Cross multiply
    75.27x = 103.72 × 54.26
  4. Step 4: Simplify right side
    75.27x = 5,627.85
  5. Step 5: Solve for x
    x = 5,627.85/75.27
  6. Step 6: Final answer
    x = 74.77

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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.