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Finding the Fourth Proportional to 134.14, 200.85 and 98.14

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Solution

The fourth proportional to 134.14, 200.85 and 98.14 is: 146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.14 : 200.85 = 98.14 : x
  2. Step 2: Convert to fraction form
    134.14/200.85 = 98.14/x
  3. Step 3: Cross multiply
    134.14x = 200.85 × 98.14
  4. Step 4: Simplify right side
    134.14x = 19,711.42
  5. Step 5: Solve for x
    x = 19,711.42/134.14
  6. Step 6: Final answer
    x = 146.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.