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Finding the Fourth Proportional to 86.57, 119.11 and 83.57

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Solution

The fourth proportional to 86.57, 119.11 and 83.57 is: 114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.57 : 119.11 = 83.57 : x
  2. Step 2: Convert to fraction form
    86.57/119.11 = 83.57/x
  3. Step 3: Cross multiply
    86.57x = 119.11 × 83.57
  4. Step 4: Simplify right side
    86.57x = 9,953.60
  5. Step 5: Solve for x
    x = 9,953.60/86.57
  6. Step 6: Final answer
    x = 114.98

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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.