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Finding the Fourth Proportional to 134.76, 202.36 and 120.14

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Solution

The fourth proportional to 134.76, 202.36 and 120.14 is: 180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.76 : 202.36 = 120.14 : x
  2. Step 2: Convert to fraction form
    134.76/202.36 = 120.14/x
  3. Step 3: Cross multiply
    134.76x = 202.36 × 120.14
  4. Step 4: Simplify right side
    134.76x = 24,311.09
  5. Step 5: Solve for x
    x = 24,311.09/134.76
  6. Step 6: Final answer
    x = 180.41

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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.