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Finding the Fourth Proportional to 50.16, 75.17 and 28.50

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Solution

The fourth proportional to 50.16, 75.17 and 28.50 is: 42.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.16 : 75.17 = 28.50 : x
  2. Step 2: Convert to fraction form
    50.16/75.17 = 28.50/x
  3. Step 3: Cross multiply
    50.16x = 75.17 × 28.50
  4. Step 4: Simplify right side
    50.16x = 2,142.42
  5. Step 5: Solve for x
    x = 2,142.42/50.16
  6. Step 6: Final answer
    x = 42.71

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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.