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Finding the Fourth Proportional to 82.07, 123.03 and 34.01

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Solution

The fourth proportional to 82.07, 123.03 and 34.01 is: 50.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.07 : 123.03 = 34.01 : x
  2. Step 2: Convert to fraction form
    82.07/123.03 = 34.01/x
  3. Step 3: Cross multiply
    82.07x = 123.03 × 34.01
  4. Step 4: Simplify right side
    82.07x = 4,183.64
  5. Step 5: Solve for x
    x = 4,183.64/82.07
  6. Step 6: Final answer
    x = 50.98

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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.