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Finding the Fourth Proportional to 83.53, 115.31 and 50.80

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Solution

The fourth proportional to 83.53, 115.31 and 50.80 is: 70.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.53 : 115.31 = 50.80 : x
  2. Step 2: Convert to fraction form
    83.53/115.31 = 50.80/x
  3. Step 3: Cross multiply
    83.53x = 115.31 × 50.80
  4. Step 4: Simplify right side
    83.53x = 5,858.06
  5. Step 5: Solve for x
    x = 5,858.06/83.53
  6. Step 6: Final answer
    x = 70.13

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Why These Related Problems?

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