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Finding the Fourth Proportional to 134.24, 200.82 and 120.02

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Solution

The fourth proportional to 134.24, 200.82 and 120.02 is: 179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.24 : 200.82 = 120.02 : x
  2. Step 2: Convert to fraction form
    134.24/200.82 = 120.02/x
  3. Step 3: Cross multiply
    134.24x = 200.82 × 120.02
  4. Step 4: Simplify right side
    134.24x = 24,102.42
  5. Step 5: Solve for x
    x = 24,102.42/134.24
  6. Step 6: Final answer
    x = 179.55

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