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Finding the Fourth Proportional to 50.43, 75.87 and 30.16

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Solution

The fourth proportional to 50.43, 75.87 and 30.16 is: 45.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.43 : 75.87 = 30.16 : x
  2. Step 2: Convert to fraction form
    50.43/75.87 = 30.16/x
  3. Step 3: Cross multiply
    50.43x = 75.87 × 30.16
  4. Step 4: Simplify right side
    50.43x = 2,287.94
  5. Step 5: Solve for x
    x = 2,287.94/50.43
  6. Step 6: Final answer
    x = 45.37

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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.