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Finding the Fourth Proportional to 135.46, 186.85 and 85.70

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Solution

The fourth proportional to 135.46, 186.85 and 85.70 is: 118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.46 : 186.85 = 85.70 : x
  2. Step 2: Convert to fraction form
    135.46/186.85 = 85.70/x
  3. Step 3: Cross multiply
    135.46x = 186.85 × 85.70
  4. Step 4: Simplify right side
    135.46x = 16,013.05
  5. Step 5: Solve for x
    x = 16,013.05/135.46
  6. Step 6: Final answer
    x = 118.21

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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.