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Finding the Fourth Proportional to 75.96, 105.39 and 70.92

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Solution

The fourth proportional to 75.96, 105.39 and 70.92 is: 98.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.96 : 105.39 = 70.92 : x
  2. Step 2: Convert to fraction form
    75.96/105.39 = 70.92/x
  3. Step 3: Cross multiply
    75.96x = 105.39 × 70.92
  4. Step 4: Simplify right side
    75.96x = 7,474.26
  5. Step 5: Solve for x
    x = 7,474.26/75.96
  6. Step 6: Final answer
    x = 98.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.