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Finding the Fourth Proportional to 83.53, 115.25 and 54.42

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Solution

The fourth proportional to 83.53, 115.25 and 54.42 is: 75.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.53 : 115.25 = 54.42 : x
  2. Step 2: Convert to fraction form
    83.53/115.25 = 54.42/x
  3. Step 3: Cross multiply
    83.53x = 115.25 × 54.42
  4. Step 4: Simplify right side
    83.53x = 6,271.91
  5. Step 5: Solve for x
    x = 6,271.91/83.53
  6. Step 6: Final answer
    x = 75.09

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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.