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Finding the Fourth Proportional to 71.79, 106.96 and 68.35

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Solution

The fourth proportional to 71.79, 106.96 and 68.35 is: 101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.79 : 106.96 = 68.35 : x
  2. Step 2: Convert to fraction form
    71.79/106.96 = 68.35/x
  3. Step 3: Cross multiply
    71.79x = 106.96 × 68.35
  4. Step 4: Simplify right side
    71.79x = 7,310.72
  5. Step 5: Solve for x
    x = 7,310.72/71.79
  6. Step 6: Final answer
    x = 101.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.