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Finding the Fourth Proportional to 82.14, 122.90 and 49.65

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Solution

The fourth proportional to 82.14, 122.90 and 49.65 is: 74.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.14 : 122.90 = 49.65 : x
  2. Step 2: Convert to fraction form
    82.14/122.90 = 49.65/x
  3. Step 3: Cross multiply
    82.14x = 122.90 × 49.65
  4. Step 4: Simplify right side
    82.14x = 6,101.99
  5. Step 5: Solve for x
    x = 6,101.99/82.14
  6. Step 6: Final answer
    x = 74.29

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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.