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Finding the Fourth Proportional to 70.05, 96.17 and 60.83

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Solution

The fourth proportional to 70.05, 96.17 and 60.83 is: 83.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.05 : 96.17 = 60.83 : x
  2. Step 2: Convert to fraction form
    70.05/96.17 = 60.83/x
  3. Step 3: Cross multiply
    70.05x = 96.17 × 60.83
  4. Step 4: Simplify right side
    70.05x = 5,849.24
  5. Step 5: Solve for x
    x = 5,849.24/70.05
  6. Step 6: Final answer
    x = 83.50

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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.