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Finding the Fourth Proportional to 82.30, 123.13 and 49.83

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Solution

The fourth proportional to 82.30, 123.13 and 49.83 is: 74.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.30 : 123.13 = 49.83 : x
  2. Step 2: Convert to fraction form
    82.30/123.13 = 49.83/x
  3. Step 3: Cross multiply
    82.30x = 123.13 × 49.83
  4. Step 4: Simplify right side
    82.30x = 6,135.57
  5. Step 5: Solve for x
    x = 6,135.57/82.30
  6. Step 6: Final answer
    x = 74.55

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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.