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Finding the Fourth Proportional to 135.43, 186.72 and 110.81

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Solution

The fourth proportional to 135.43, 186.72 and 110.81 is: 152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.43 : 186.72 = 110.81 : x
  2. Step 2: Convert to fraction form
    135.43/186.72 = 110.81/x
  3. Step 3: Cross multiply
    135.43x = 186.72 × 110.81
  4. Step 4: Simplify right side
    135.43x = 20,690.44
  5. Step 5: Solve for x
    x = 20,690.44/135.43
  6. Step 6: Final answer
    x = 152.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.