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Finding the Fourth Proportional to 135.13, 202.63 and 80.30

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Solution

The fourth proportional to 135.13, 202.63 and 80.30 is: 120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.13 : 202.63 = 80.30 : x
  2. Step 2: Convert to fraction form
    135.13/202.63 = 80.30/x
  3. Step 3: Cross multiply
    135.13x = 202.63 × 80.30
  4. Step 4: Simplify right side
    135.13x = 16,270.79
  5. Step 5: Solve for x
    x = 16,270.79/135.13
  6. Step 6: Final answer
    x = 120.41

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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.