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Finding the Fourth Proportional to 83.25, 114.93 and 52.19

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Solution

The fourth proportional to 83.25, 114.93 and 52.19 is: 72.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.25 : 114.93 = 52.19 : x
  2. Step 2: Convert to fraction form
    83.25/114.93 = 52.19/x
  3. Step 3: Cross multiply
    83.25x = 114.93 × 52.19
  4. Step 4: Simplify right side
    83.25x = 5,997.62
  5. Step 5: Solve for x
    x = 5,997.62/83.25
  6. Step 6: Final answer
    x = 72.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.