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Finding the Fourth Proportional to 135.11, 202.46 and 77.26

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Solution

The fourth proportional to 135.11, 202.46 and 77.26 is: 115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.11 : 202.46 = 77.26 : x
  2. Step 2: Convert to fraction form
    135.11/202.46 = 77.26/x
  3. Step 3: Cross multiply
    135.11x = 202.46 × 77.26
  4. Step 4: Simplify right side
    135.11x = 15,641.67
  5. Step 5: Solve for x
    x = 15,641.67/135.11
  6. Step 6: Final answer
    x = 115.77

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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.