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Finding the Fourth Proportional to 134.80, 185.82 and 97.84

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Solution

The fourth proportional to 134.80, 185.82 and 97.84 is: 134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.80 : 185.82 = 97.84 : x
  2. Step 2: Convert to fraction form
    134.80/185.82 = 97.84/x
  3. Step 3: Cross multiply
    134.80x = 185.82 × 97.84
  4. Step 4: Simplify right side
    134.80x = 18,180.63
  5. Step 5: Solve for x
    x = 18,180.63/134.80
  6. Step 6: Final answer
    x = 134.87

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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.