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Finding the Fourth Proportional to 135.22, 186.50 and 86.06

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Solution

The fourth proportional to 135.22, 186.50 and 86.06 is: 118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.22 : 186.50 = 86.06 : x
  2. Step 2: Convert to fraction form
    135.22/186.50 = 86.06/x
  3. Step 3: Cross multiply
    135.22x = 186.50 × 86.06
  4. Step 4: Simplify right side
    135.22x = 16,050.87
  5. Step 5: Solve for x
    x = 16,050.87/135.22
  6. Step 6: Final answer
    x = 118.70

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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.