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Finding the Fourth Proportional to 97.70, 134.76 and 83.86

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Solution

The fourth proportional to 97.70, 134.76 and 83.86 is: 115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.70 : 134.76 = 83.86 : x
  2. Step 2: Convert to fraction form
    97.70/134.76 = 83.86/x
  3. Step 3: Cross multiply
    97.70x = 134.76 × 83.86
  4. Step 4: Simplify right side
    97.70x = 11,300.97
  5. Step 5: Solve for x
    x = 11,300.97/97.70
  6. Step 6: Final answer
    x = 115.67

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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.