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Finding the Fourth Proportional to 50.57, 75.86 and 14.50

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Solution

The fourth proportional to 50.57, 75.86 and 14.50 is: 21.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.57 : 75.86 = 14.50 : x
  2. Step 2: Convert to fraction form
    50.57/75.86 = 14.50/x
  3. Step 3: Cross multiply
    50.57x = 75.86 × 14.50
  4. Step 4: Simplify right side
    50.57x = 1,099.97
  5. Step 5: Solve for x
    x = 1,099.97/50.57
  6. Step 6: Final answer
    x = 21.75

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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.