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Finding the Fourth Proportional to 82.66, 123.78 and 69.82

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Solution

The fourth proportional to 82.66, 123.78 and 69.82 is: 104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.66 : 123.78 = 69.82 : x
  2. Step 2: Convert to fraction form
    82.66/123.78 = 69.82/x
  3. Step 3: Cross multiply
    82.66x = 123.78 × 69.82
  4. Step 4: Simplify right side
    82.66x = 8,642.32
  5. Step 5: Solve for x
    x = 8,642.32/82.66
  6. Step 6: Final answer
    x = 104.55

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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.