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Finding the Fourth Proportional to 82, 123 and 50.01

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Solution

The fourth proportional to 82, 123 and 50.01 is: 75.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 123 = 50.01 : x
  2. Step 2: Convert to fraction form
    82/123 = 50.01/x
  3. Step 3: Cross multiply
    82x = 123 × 50.01
  4. Step 4: Simplify right side
    82x = 6,151.23
  5. Step 5: Solve for x
    x = 6,151.23/82
  6. Step 6: Final answer
    x = 75.02

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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.