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Finding the Fourth Proportional to 50.48, 75.72 and 16.23

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Solution

The fourth proportional to 50.48, 75.72 and 16.23 is: 24.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.48 : 75.72 = 16.23 : x
  2. Step 2: Convert to fraction form
    50.48/75.72 = 16.23/x
  3. Step 3: Cross multiply
    50.48x = 75.72 × 16.23
  4. Step 4: Simplify right side
    50.48x = 1,229.28
  5. Step 5: Solve for x
    x = 1,229.28/50.48
  6. Step 6: Final answer
    x = 24.35

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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.