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Finding the Fourth Proportional to 75.30, 103.89 and 42.54

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Solution

The fourth proportional to 75.30, 103.89 and 42.54 is: 58.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.30 : 103.89 = 42.54 : x
  2. Step 2: Convert to fraction form
    75.30/103.89 = 42.54/x
  3. Step 3: Cross multiply
    75.30x = 103.89 × 42.54
  4. Step 4: Simplify right side
    75.30x = 4,418.96
  5. Step 5: Solve for x
    x = 4,418.96/75.30
  6. Step 6: Final answer
    x = 58.69

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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.