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Finding the Fourth Proportional to 70.65, 96.62 and 70.25

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Solution

The fourth proportional to 70.65, 96.62 and 70.25 is: 96.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.65 : 96.62 = 70.25 : x
  2. Step 2: Convert to fraction form
    70.65/96.62 = 70.25/x
  3. Step 3: Cross multiply
    70.65x = 96.62 × 70.25
  4. Step 4: Simplify right side
    70.65x = 6,786.72
  5. Step 5: Solve for x
    x = 6,786.72/70.65
  6. Step 6: Final answer
    x = 96.06

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