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Finding the Fourth Proportional to 70.31, 105.27 and 63.91

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Solution

The fourth proportional to 70.31, 105.27 and 63.91 is: 95.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.31 : 105.27 = 63.91 : x
  2. Step 2: Convert to fraction form
    70.31/105.27 = 63.91/x
  3. Step 3: Cross multiply
    70.31x = 105.27 × 63.91
  4. Step 4: Simplify right side
    70.31x = 6,727.28
  5. Step 5: Solve for x
    x = 6,727.28/70.31
  6. Step 6: Final answer
    x = 95.68

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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.