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Finding the Fourth Proportional to 134.99, 186.26 and 82.54

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Solution

The fourth proportional to 134.99, 186.26 and 82.54 is: 113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.99 : 186.26 = 82.54 : x
  2. Step 2: Convert to fraction form
    134.99/186.26 = 82.54/x
  3. Step 3: Cross multiply
    134.99x = 186.26 × 82.54
  4. Step 4: Simplify right side
    134.99x = 15,373.90
  5. Step 5: Solve for x
    x = 15,373.90/134.99
  6. Step 6: Final answer
    x = 113.89

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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.