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Finding the Fourth Proportional to 135.42, 203.13 and 120.21

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Solution

The fourth proportional to 135.42, 203.13 and 120.21 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 203.13 = 120.21 : x
  2. Step 2: Convert to fraction form
    135.42/203.13 = 120.21/x
  3. Step 3: Cross multiply
    135.42x = 203.13 × 120.21
  4. Step 4: Simplify right side
    135.42x = 24,418.26
  5. Step 5: Solve for x
    x = 24,418.26/135.42
  6. Step 6: Final answer
    x = 180.32

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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.