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Finding the Fourth Proportional to 134.52, 185.72 and 82.84

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Solution

The fourth proportional to 134.52, 185.72 and 82.84 is: 114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.52 : 185.72 = 82.84 : x
  2. Step 2: Convert to fraction form
    134.52/185.72 = 82.84/x
  3. Step 3: Cross multiply
    134.52x = 185.72 × 82.84
  4. Step 4: Simplify right side
    134.52x = 15,385.04
  5. Step 5: Solve for x
    x = 15,385.04/134.52
  6. Step 6: Final answer
    x = 114.37

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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.