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Finding the Fourth Proportional to 82.10, 123.08 and 50.06

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Solution

The fourth proportional to 82.10, 123.08 and 50.06 is: 75.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.10 : 123.08 = 50.06 : x
  2. Step 2: Convert to fraction form
    82.10/123.08 = 50.06/x
  3. Step 3: Cross multiply
    82.10x = 123.08 × 50.06
  4. Step 4: Simplify right side
    82.10x = 6,161.38
  5. Step 5: Solve for x
    x = 6,161.38/82.10
  6. Step 6: Final answer
    x = 75.05

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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.