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Finding the Fourth Proportional to 78.39, 108.24 and 59.94

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Solution

The fourth proportional to 78.39, 108.24 and 59.94 is: 82.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.39 : 108.24 = 59.94 : x
  2. Step 2: Convert to fraction form
    78.39/108.24 = 59.94/x
  3. Step 3: Cross multiply
    78.39x = 108.24 × 59.94
  4. Step 4: Simplify right side
    78.39x = 6,487.68
  5. Step 5: Solve for x
    x = 6,487.68/78.39
  6. Step 6: Final answer
    x = 82.76

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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.