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Finding the Fourth Proportional to 75.96, 104.34 and 69.07

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Solution

The fourth proportional to 75.96, 104.34 and 69.07 is: 94.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.96 : 104.34 = 69.07 : x
  2. Step 2: Convert to fraction form
    75.96/104.34 = 69.07/x
  3. Step 3: Cross multiply
    75.96x = 104.34 × 69.07
  4. Step 4: Simplify right side
    75.96x = 7,206.76
  5. Step 5: Solve for x
    x = 7,206.76/75.96
  6. Step 6: Final answer
    x = 94.88

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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.