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Finding the Fourth Proportional to 94.56, 129.80 and 83.46

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Solution

The fourth proportional to 94.56, 129.80 and 83.46 is: 114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.56 : 129.80 = 83.46 : x
  2. Step 2: Convert to fraction form
    94.56/129.80 = 83.46/x
  3. Step 3: Cross multiply
    94.56x = 129.80 × 83.46
  4. Step 4: Simplify right side
    94.56x = 10,832.69
  5. Step 5: Solve for x
    x = 10,832.69/94.56
  6. Step 6: Final answer
    x = 114.56

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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.