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Finding the Fourth Proportional to 70.52, 106.19 and 68.84

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Solution

The fourth proportional to 70.52, 106.19 and 68.84 is: 103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.52 : 106.19 = 68.84 : x
  2. Step 2: Convert to fraction form
    70.52/106.19 = 68.84/x
  3. Step 3: Cross multiply
    70.52x = 106.19 × 68.84
  4. Step 4: Simplify right side
    70.52x = 7,310.12
  5. Step 5: Solve for x
    x = 7,310.12/70.52
  6. Step 6: Final answer
    x = 103.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.