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Finding the Fourth Proportional to 75.20, 103.86 and 54.59

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Solution

The fourth proportional to 75.20, 103.86 and 54.59 is: 75.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.20 : 103.86 = 54.59 : x
  2. Step 2: Convert to fraction form
    75.20/103.86 = 54.59/x
  3. Step 3: Cross multiply
    75.20x = 103.86 × 54.59
  4. Step 4: Simplify right side
    75.20x = 5,669.20
  5. Step 5: Solve for x
    x = 5,669.20/75.20
  6. Step 6: Final answer
    x = 75.39

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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.