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Finding the Fourth Proportional to 50.98, 76.42 and 23.95

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Solution

The fourth proportional to 50.98, 76.42 and 23.95 is: 35.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.98 : 76.42 = 23.95 : x
  2. Step 2: Convert to fraction form
    50.98/76.42 = 23.95/x
  3. Step 3: Cross multiply
    50.98x = 76.42 × 23.95
  4. Step 4: Simplify right side
    50.98x = 1,830.26
  5. Step 5: Solve for x
    x = 1,830.26/50.98
  6. Step 6: Final answer
    x = 35.90

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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.