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Finding the Fourth Proportional to 86.70, 119.14 and 85.52

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Solution

The fourth proportional to 86.70, 119.14 and 85.52 is: 117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.70 : 119.14 = 85.52 : x
  2. Step 2: Convert to fraction form
    86.70/119.14 = 85.52/x
  3. Step 3: Cross multiply
    86.70x = 119.14 × 85.52
  4. Step 4: Simplify right side
    86.70x = 10,188.94
  5. Step 5: Solve for x
    x = 10,188.94/86.70
  6. Step 6: Final answer
    x = 117.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.