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Finding the Fourth Proportional to 94.29, 130.20 and 66.78

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Solution

The fourth proportional to 94.29, 130.20 and 66.78 is: 92.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.29 : 130.20 = 66.78 : x
  2. Step 2: Convert to fraction form
    94.29/130.20 = 66.78/x
  3. Step 3: Cross multiply
    94.29x = 130.20 × 66.78
  4. Step 4: Simplify right side
    94.29x = 8,694.76
  5. Step 5: Solve for x
    x = 8,694.76/94.29
  6. Step 6: Final answer
    x = 92.21

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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.