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Finding the Fourth Proportional to 135.14, 186.26 and 102.34

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Solution

The fourth proportional to 135.14, 186.26 and 102.34 is: 141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 186.26 = 102.34 : x
  2. Step 2: Convert to fraction form
    135.14/186.26 = 102.34/x
  3. Step 3: Cross multiply
    135.14x = 186.26 × 102.34
  4. Step 4: Simplify right side
    135.14x = 19,060.87
  5. Step 5: Solve for x
    x = 19,060.87/135.14
  6. Step 6: Final answer
    x = 141.04

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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.