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Finding the Fourth Proportional to 82.18, 123.18 and 46.09

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Solution

The fourth proportional to 82.18, 123.18 and 46.09 is: 69.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.18 : 123.18 = 46.09 : x
  2. Step 2: Convert to fraction form
    82.18/123.18 = 46.09/x
  3. Step 3: Cross multiply
    82.18x = 123.18 × 46.09
  4. Step 4: Simplify right side
    82.18x = 5,677.37
  5. Step 5: Solve for x
    x = 5,677.37/82.18
  6. Step 6: Final answer
    x = 69.08

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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.