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Finding the Fourth Proportional to 134.14, 200.97 and 65.53

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Solution

The fourth proportional to 134.14, 200.97 and 65.53 is: 98.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.14 : 200.97 = 65.53 : x
  2. Step 2: Convert to fraction form
    134.14/200.97 = 65.53/x
  3. Step 3: Cross multiply
    134.14x = 200.97 × 65.53
  4. Step 4: Simplify right side
    134.14x = 13,169.56
  5. Step 5: Solve for x
    x = 13,169.56/134.14
  6. Step 6: Final answer
    x = 98.18

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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.