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Finding the Fourth Proportional to 50.98, 76.47 and 16.74

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Solution

The fourth proportional to 50.98, 76.47 and 16.74 is: 25.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.98 : 76.47 = 16.74 : x
  2. Step 2: Convert to fraction form
    50.98/76.47 = 16.74/x
  3. Step 3: Cross multiply
    50.98x = 76.47 × 16.74
  4. Step 4: Simplify right side
    50.98x = 1,280.31
  5. Step 5: Solve for x
    x = 1,280.31/50.98
  6. Step 6: Final answer
    x = 25.11

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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.