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Finding the Fourth Proportional to 82.89, 114.37 and 50.13

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Solution

The fourth proportional to 82.89, 114.37 and 50.13 is: 69.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.89 : 114.37 = 50.13 : x
  2. Step 2: Convert to fraction form
    82.89/114.37 = 50.13/x
  3. Step 3: Cross multiply
    82.89x = 114.37 × 50.13
  4. Step 4: Simplify right side
    82.89x = 5,733.24
  5. Step 5: Solve for x
    x = 5,733.24/82.89
  6. Step 6: Final answer
    x = 69.17

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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.