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Finding the Fourth Proportional to 70.96, 97.36 and 64.82

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Solution

The fourth proportional to 70.96, 97.36 and 64.82 is: 88.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.96 : 97.36 = 64.82 : x
  2. Step 2: Convert to fraction form
    70.96/97.36 = 64.82/x
  3. Step 3: Cross multiply
    70.96x = 97.36 × 64.82
  4. Step 4: Simplify right side
    70.96x = 6,310.88
  5. Step 5: Solve for x
    x = 6,310.88/70.96
  6. Step 6: Final answer
    x = 88.94

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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.