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Finding the Fourth Proportional to 77.42, 116.09 and 38.83

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Solution

The fourth proportional to 77.42, 116.09 and 38.83 is: 58.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.42 : 116.09 = 38.83 : x
  2. Step 2: Convert to fraction form
    77.42/116.09 = 38.83/x
  3. Step 3: Cross multiply
    77.42x = 116.09 × 38.83
  4. Step 4: Simplify right side
    77.42x = 4,507.77
  5. Step 5: Solve for x
    x = 4,507.77/77.42
  6. Step 6: Final answer
    x = 58.22

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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.