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Finding the Fourth Proportional to 83.25, 124.83 and 42.08

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Solution

The fourth proportional to 83.25, 124.83 and 42.08 is: 63.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.25 : 124.83 = 42.08 : x
  2. Step 2: Convert to fraction form
    83.25/124.83 = 42.08/x
  3. Step 3: Cross multiply
    83.25x = 124.83 × 42.08
  4. Step 4: Simplify right side
    83.25x = 5,252.22
  5. Step 5: Solve for x
    x = 5,252.22/83.25
  6. Step 6: Final answer
    x = 63.09

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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.