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Finding the Fourth Proportional to 70.25, 96.89 and 57.96

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Solution

The fourth proportional to 70.25, 96.89 and 57.96 is: 79.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.25 : 96.89 = 57.96 : x
  2. Step 2: Convert to fraction form
    70.25/96.89 = 57.96/x
  3. Step 3: Cross multiply
    70.25x = 96.89 × 57.96
  4. Step 4: Simplify right side
    70.25x = 5,615.45
  5. Step 5: Solve for x
    x = 5,615.45/70.25
  6. Step 6: Final answer
    x = 79.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.