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Finding the Fourth Proportional to 82.61, 123.83 and 42.05

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Solution

The fourth proportional to 82.61, 123.83 and 42.05 is: 63.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.61 : 123.83 = 42.05 : x
  2. Step 2: Convert to fraction form
    82.61/123.83 = 42.05/x
  3. Step 3: Cross multiply
    82.61x = 123.83 × 42.05
  4. Step 4: Simplify right side
    82.61x = 5,207.05
  5. Step 5: Solve for x
    x = 5,207.05/82.61
  6. Step 6: Final answer
    x = 63.03

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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.