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Finding the Fourth Proportional to 82.10, 123.14 and 36.43

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Solution

The fourth proportional to 82.10, 123.14 and 36.43 is: 54.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.10 : 123.14 = 36.43 : x
  2. Step 2: Convert to fraction form
    82.10/123.14 = 36.43/x
  3. Step 3: Cross multiply
    82.10x = 123.14 × 36.43
  4. Step 4: Simplify right side
    82.10x = 4,485.57
  5. Step 5: Solve for x
    x = 4,485.57/82.10
  6. Step 6: Final answer
    x = 54.63

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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.