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Finding the Fourth Proportional to 70.65, 96.97 and 64.47

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Solution

The fourth proportional to 70.65, 96.97 and 64.47 is: 88.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.65 : 96.97 = 64.47 : x
  2. Step 2: Convert to fraction form
    70.65/96.97 = 64.47/x
  3. Step 3: Cross multiply
    70.65x = 96.97 × 64.47
  4. Step 4: Simplify right side
    70.65x = 6,251.66
  5. Step 5: Solve for x
    x = 6,251.66/70.65
  6. Step 6: Final answer
    x = 88.49

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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.