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Finding the Fourth Proportional to 135.57, 186.96 and 102.78

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Solution

The fourth proportional to 135.57, 186.96 and 102.78 is: 141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.57 : 186.96 = 102.78 : x
  2. Step 2: Convert to fraction form
    135.57/186.96 = 102.78/x
  3. Step 3: Cross multiply
    135.57x = 186.96 × 102.78
  4. Step 4: Simplify right side
    135.57x = 19,215.75
  5. Step 5: Solve for x
    x = 19,215.75/135.57
  6. Step 6: Final answer
    x = 141.74

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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.