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Finding the Fourth Proportional to 95.87, 143.82 and 50.24

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Solution

The fourth proportional to 95.87, 143.82 and 50.24 is: 75.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.87 : 143.82 = 50.24 : x
  2. Step 2: Convert to fraction form
    95.87/143.82 = 50.24/x
  3. Step 3: Cross multiply
    95.87x = 143.82 × 50.24
  4. Step 4: Simplify right side
    95.87x = 7,224.80
  5. Step 5: Solve for x
    x = 7,224.80/95.87
  6. Step 6: Final answer
    x = 75.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.