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Finding the Fourth Proportional to 70.44, 96.34 and 70.16

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Solution

The fourth proportional to 70.44, 96.34 and 70.16 is: 95.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.44 : 96.34 = 70.16 : x
  2. Step 2: Convert to fraction form
    70.44/96.34 = 70.16/x
  3. Step 3: Cross multiply
    70.44x = 96.34 × 70.16
  4. Step 4: Simplify right side
    70.44x = 6,759.21
  5. Step 5: Solve for x
    x = 6,759.21/70.44
  6. Step 6: Final answer
    x = 95.96

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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.