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Finding the Fourth Proportional to 94.49, 130.25 and 83.46

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Solution

The fourth proportional to 94.49, 130.25 and 83.46 is: 115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.49 : 130.25 = 83.46 : x
  2. Step 2: Convert to fraction form
    94.49/130.25 = 83.46/x
  3. Step 3: Cross multiply
    94.49x = 130.25 × 83.46
  4. Step 4: Simplify right side
    94.49x = 10,870.25
  5. Step 5: Solve for x
    x = 10,870.25/94.49
  6. Step 6: Final answer
    x = 115.05

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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.