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Finding the Fourth Proportional to 77.83, 117.34 and 67.09

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Solution

The fourth proportional to 77.83, 117.34 and 67.09 is: 101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.83 : 117.34 = 67.09 : x
  2. Step 2: Convert to fraction form
    77.83/117.34 = 67.09/x
  3. Step 3: Cross multiply
    77.83x = 117.34 × 67.09
  4. Step 4: Simplify right side
    77.83x = 7,872.34
  5. Step 5: Solve for x
    x = 7,872.34/77.83
  6. Step 6: Final answer
    x = 101.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.