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Finding the Fourth Proportional to 135.31, 186.68 and 93.81

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Solution

The fourth proportional to 135.31, 186.68 and 93.81 is: 129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.31 : 186.68 = 93.81 : x
  2. Step 2: Convert to fraction form
    135.31/186.68 = 93.81/x
  3. Step 3: Cross multiply
    135.31x = 186.68 × 93.81
  4. Step 4: Simplify right side
    135.31x = 17,512.45
  5. Step 5: Solve for x
    x = 17,512.45/135.31
  6. Step 6: Final answer
    x = 129.42

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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.