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Finding the Fourth Proportional to 94.70, 129.54 and 94.46

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Solution

The fourth proportional to 94.70, 129.54 and 94.46 is: 129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.70 : 129.54 = 94.46 : x
  2. Step 2: Convert to fraction form
    94.70/129.54 = 94.46/x
  3. Step 3: Cross multiply
    94.70x = 129.54 × 94.46
  4. Step 4: Simplify right side
    94.70x = 12,235.70
  5. Step 5: Solve for x
    x = 12,235.70/94.70
  6. Step 6: Final answer
    x = 129.21

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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.