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Finding the Fourth Proportional to 70.94, 106.32 and 63.26

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Solution

The fourth proportional to 70.94, 106.32 and 63.26 is: 94.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.94 : 106.32 = 63.26 : x
  2. Step 2: Convert to fraction form
    70.94/106.32 = 63.26/x
  3. Step 3: Cross multiply
    70.94x = 106.32 × 63.26
  4. Step 4: Simplify right side
    70.94x = 6,725.80
  5. Step 5: Solve for x
    x = 6,725.80/70.94
  6. Step 6: Final answer
    x = 94.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.