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Finding the Fourth Proportional to 78.69, 108.54 and 69.96

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Solution

The fourth proportional to 78.69, 108.54 and 69.96 is: 96.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.69 : 108.54 = 69.96 : x
  2. Step 2: Convert to fraction form
    78.69/108.54 = 69.96/x
  3. Step 3: Cross multiply
    78.69x = 108.54 × 69.96
  4. Step 4: Simplify right side
    78.69x = 7,593.46
  5. Step 5: Solve for x
    x = 7,593.46/78.69
  6. Step 6: Final answer
    x = 96.50

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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.