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Finding the Fourth Proportional to 77.70, 116.42 and 43.37

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Solution

The fourth proportional to 77.70, 116.42 and 43.37 is: 64.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.70 : 116.42 = 43.37 : x
  2. Step 2: Convert to fraction form
    77.70/116.42 = 43.37/x
  3. Step 3: Cross multiply
    77.70x = 116.42 × 43.37
  4. Step 4: Simplify right side
    77.70x = 5,049.14
  5. Step 5: Solve for x
    x = 5,049.14/77.70
  6. Step 6: Final answer
    x = 64.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.