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Finding the Fourth Proportional to 50.82, 75.82 and 48.14

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Solution

The fourth proportional to 50.82, 75.82 and 48.14 is: 71.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.82 : 75.82 = 48.14 : x
  2. Step 2: Convert to fraction form
    50.82/75.82 = 48.14/x
  3. Step 3: Cross multiply
    50.82x = 75.82 × 48.14
  4. Step 4: Simplify right side
    50.82x = 3,649.97
  5. Step 5: Solve for x
    x = 3,649.97/50.82
  6. Step 6: Final answer
    x = 71.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.