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Finding the Fourth Proportional to 135.91, 187.55 and 86.78

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Solution

The fourth proportional to 135.91, 187.55 and 86.78 is: 119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.91 : 187.55 = 86.78 : x
  2. Step 2: Convert to fraction form
    135.91/187.55 = 86.78/x
  3. Step 3: Cross multiply
    135.91x = 187.55 × 86.78
  4. Step 4: Simplify right side
    135.91x = 16,274.87
  5. Step 5: Solve for x
    x = 16,274.87/135.91
  6. Step 6: Final answer
    x = 119.75

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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.