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Finding the Fourth Proportional to 75.05, 103.62 and 48.83

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Solution

The fourth proportional to 75.05, 103.62 and 48.83 is: 67.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.05 : 103.62 = 48.83 : x
  2. Step 2: Convert to fraction form
    75.05/103.62 = 48.83/x
  3. Step 3: Cross multiply
    75.05x = 103.62 × 48.83
  4. Step 4: Simplify right side
    75.05x = 5,059.25
  5. Step 5: Solve for x
    x = 5,059.25/75.05
  6. Step 6: Final answer
    x = 67.42

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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.