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Finding the Fourth Proportional to 83.25, 114.89 and 50.51

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Solution

The fourth proportional to 83.25, 114.89 and 50.51 is: 69.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.25 : 114.89 = 50.51 : x
  2. Step 2: Convert to fraction form
    83.25/114.89 = 50.51/x
  3. Step 3: Cross multiply
    83.25x = 114.89 × 50.51
  4. Step 4: Simplify right side
    83.25x = 5,803.13
  5. Step 5: Solve for x
    x = 5,803.13/83.25
  6. Step 6: Final answer
    x = 69.71

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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.