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Finding the Fourth Proportional to 135.37, 202.10 and 120.13

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Solution

The fourth proportional to 135.37, 202.10 and 120.13 is: 179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.37 : 202.10 = 120.13 : x
  2. Step 2: Convert to fraction form
    135.37/202.10 = 120.13/x
  3. Step 3: Cross multiply
    135.37x = 202.10 × 120.13
  4. Step 4: Simplify right side
    135.37x = 24,278.30
  5. Step 5: Solve for x
    x = 24,278.30/135.37
  6. Step 6: Final answer
    x = 179.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.