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Finding the Fourth Proportional to 94.40, 129.92 and 82.16

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Solution

The fourth proportional to 94.40, 129.92 and 82.16 is: 113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.40 : 129.92 = 82.16 : x
  2. Step 2: Convert to fraction form
    94.40/129.92 = 82.16/x
  3. Step 3: Cross multiply
    94.40x = 129.92 × 82.16
  4. Step 4: Simplify right side
    94.40x = 10,674.23
  5. Step 5: Solve for x
    x = 10,674.23/94.40
  6. Step 6: Final answer
    x = 113.07

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