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Finding the Fourth Proportional to 82.45, 123.65 and 41.30

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Solution

The fourth proportional to 82.45, 123.65 and 41.30 is: 61.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.45 : 123.65 = 41.30 : x
  2. Step 2: Convert to fraction form
    82.45/123.65 = 41.30/x
  3. Step 3: Cross multiply
    82.45x = 123.65 × 41.30
  4. Step 4: Simplify right side
    82.45x = 5,106.75
  5. Step 5: Solve for x
    x = 5,106.75/82.45
  6. Step 6: Final answer
    x = 61.94

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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.