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Finding the Fourth Proportional to 135.74, 187.22 and 86.54

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Solution

The fourth proportional to 135.74, 187.22 and 86.54 is: 119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.74 : 187.22 = 86.54 : x
  2. Step 2: Convert to fraction form
    135.74/187.22 = 86.54/x
  3. Step 3: Cross multiply
    135.74x = 187.22 × 86.54
  4. Step 4: Simplify right side
    135.74x = 16,201.30
  5. Step 5: Solve for x
    x = 16,201.30/135.74
  6. Step 6: Final answer
    x = 119.35

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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.