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Finding the Fourth Proportional to 73.82, 101.87 and 41.07

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Solution

The fourth proportional to 73.82, 101.87 and 41.07 is: 56.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.82 : 101.87 = 41.07 : x
  2. Step 2: Convert to fraction form
    73.82/101.87 = 41.07/x
  3. Step 3: Cross multiply
    73.82x = 101.87 × 41.07
  4. Step 4: Simplify right side
    73.82x = 4,183.60
  5. Step 5: Solve for x
    x = 4,183.60/73.82
  6. Step 6: Final answer
    x = 56.68

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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.