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Finding the Fourth Proportional to 135.86, 187.57 and 86.75

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Solution

The fourth proportional to 135.86, 187.57 and 86.75 is: 119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.86 : 187.57 = 86.75 : x
  2. Step 2: Convert to fraction form
    135.86/187.57 = 86.75/x
  3. Step 3: Cross multiply
    135.86x = 187.57 × 86.75
  4. Step 4: Simplify right side
    135.86x = 16,272.14
  5. Step 5: Solve for x
    x = 16,272.14/135.86
  6. Step 6: Final answer
    x = 119.77

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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.