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Finding the Fourth Proportional to 98.70, 136.34 and 77.14

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Solution

The fourth proportional to 98.70, 136.34 and 77.14 is: 106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.70 : 136.34 = 77.14 : x
  2. Step 2: Convert to fraction form
    98.70/136.34 = 77.14/x
  3. Step 3: Cross multiply
    98.70x = 136.34 × 77.14
  4. Step 4: Simplify right side
    98.70x = 10,517.27
  5. Step 5: Solve for x
    x = 10,517.27/98.70
  6. Step 6: Final answer
    x = 106.56

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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.