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Finding the Fourth Proportional to 135.23, 202.83 and 80.35

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Solution

The fourth proportional to 135.23, 202.83 and 80.35 is: 120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.23 : 202.83 = 80.35 : x
  2. Step 2: Convert to fraction form
    135.23/202.83 = 80.35/x
  3. Step 3: Cross multiply
    135.23x = 202.83 × 80.35
  4. Step 4: Simplify right side
    135.23x = 16,296.58
  5. Step 5: Solve for x
    x = 16,296.58/135.23
  6. Step 6: Final answer
    x = 120.51

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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.