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Finding the Fourth Proportional to 135.80, 187.31 and 86.00

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Solution

The fourth proportional to 135.80, 187.31 and 86.00 is: 118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.80 : 187.31 = 86.00 : x
  2. Step 2: Convert to fraction form
    135.80/187.31 = 86.00/x
  3. Step 3: Cross multiply
    135.80x = 187.31 × 86.00
  4. Step 4: Simplify right side
    135.80x = 16,107.29
  5. Step 5: Solve for x
    x = 16,107.29/135.80
  6. Step 6: Final answer
    x = 118.61

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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.