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Finding the Fourth Proportional to 86.70, 129.42 and 83.84

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Solution

The fourth proportional to 86.70, 129.42 and 83.84 is: 125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.70 : 129.42 = 83.84 : x
  2. Step 2: Convert to fraction form
    86.70/129.42 = 83.84/x
  3. Step 3: Cross multiply
    86.70x = 129.42 × 83.84
  4. Step 4: Simplify right side
    86.70x = 10,850.57
  5. Step 5: Solve for x
    x = 10,850.57/86.70
  6. Step 6: Final answer
    x = 125.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.