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Finding the Fourth Proportional to 135.53, 186.96 and 86.37

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Solution

The fourth proportional to 135.53, 186.96 and 86.37 is: 119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.53 : 186.96 = 86.37 : x
  2. Step 2: Convert to fraction form
    135.53/186.96 = 86.37/x
  3. Step 3: Cross multiply
    135.53x = 186.96 × 86.37
  4. Step 4: Simplify right side
    135.53x = 16,148.71
  5. Step 5: Solve for x
    x = 16,148.71/135.53
  6. Step 6: Final answer
    x = 119.16

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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.