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Finding the Fourth Proportional to 134.30, 201.42 and 80.53

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Solution

The fourth proportional to 134.30, 201.42 and 80.53 is: 120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.30 : 201.42 = 80.53 : x
  2. Step 2: Convert to fraction form
    134.30/201.42 = 80.53/x
  3. Step 3: Cross multiply
    134.30x = 201.42 × 80.53
  4. Step 4: Simplify right side
    134.30x = 16,219.85
  5. Step 5: Solve for x
    x = 16,219.85/134.30
  6. Step 6: Final answer
    x = 120.77

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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.