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Finding the Fourth Proportional to 78.39, 107.52 and 73.73

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Solution

The fourth proportional to 78.39, 107.52 and 73.73 is: 101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.39 : 107.52 = 73.73 : x
  2. Step 2: Convert to fraction form
    78.39/107.52 = 73.73/x
  3. Step 3: Cross multiply
    78.39x = 107.52 × 73.73
  4. Step 4: Simplify right side
    78.39x = 7,926.91
  5. Step 5: Solve for x
    x = 7,926.91/78.39
  6. Step 6: Final answer
    x = 101.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.