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Finding the Fourth Proportional to 135.76, 202.41 and 116.32

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Solution

The fourth proportional to 135.76, 202.41 and 116.32 is: 173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.76 : 202.41 = 116.32 : x
  2. Step 2: Convert to fraction form
    135.76/202.41 = 116.32/x
  3. Step 3: Cross multiply
    135.76x = 202.41 × 116.32
  4. Step 4: Simplify right side
    135.76x = 23,544.33
  5. Step 5: Solve for x
    x = 23,544.33/135.76
  6. Step 6: Final answer
    x = 173.43

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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.