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Finding the Fourth Proportional to 82.12, 123.14 and 34.02

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Solution

The fourth proportional to 82.12, 123.14 and 34.02 is: 51.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.12 : 123.14 = 34.02 : x
  2. Step 2: Convert to fraction form
    82.12/123.14 = 34.02/x
  3. Step 3: Cross multiply
    82.12x = 123.14 × 34.02
  4. Step 4: Simplify right side
    82.12x = 4,189.22
  5. Step 5: Solve for x
    x = 4,189.22/82.12
  6. Step 6: Final answer
    x = 51.01

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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.