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Finding the Fourth Proportional to 134.82, 186.06 and 82.40

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Solution

The fourth proportional to 134.82, 186.06 and 82.40 is: 113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.82 : 186.06 = 82.40 : x
  2. Step 2: Convert to fraction form
    134.82/186.06 = 82.40/x
  3. Step 3: Cross multiply
    134.82x = 186.06 × 82.40
  4. Step 4: Simplify right side
    134.82x = 15,331.34
  5. Step 5: Solve for x
    x = 15,331.34/134.82
  6. Step 6: Final answer
    x = 113.72

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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.