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Finding the Fourth Proportional to 70.05, 96.10 and 68.25

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Solution

The fourth proportional to 70.05, 96.10 and 68.25 is: 93.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.05 : 96.10 = 68.25 : x
  2. Step 2: Convert to fraction form
    70.05/96.10 = 68.25/x
  3. Step 3: Cross multiply
    70.05x = 96.10 × 68.25
  4. Step 4: Simplify right side
    70.05x = 6,558.83
  5. Step 5: Solve for x
    x = 6,558.83/70.05
  6. Step 6: Final answer
    x = 93.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.