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Finding the Fourth Proportional to 82.08, 123.06 and 30.69

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Solution

The fourth proportional to 82.08, 123.06 and 30.69 is: 46.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.08 : 123.06 = 30.69 : x
  2. Step 2: Convert to fraction form
    82.08/123.06 = 30.69/x
  3. Step 3: Cross multiply
    82.08x = 123.06 × 30.69
  4. Step 4: Simplify right side
    82.08x = 3,776.71
  5. Step 5: Solve for x
    x = 3,776.71/82.08
  6. Step 6: Final answer
    x = 46.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.