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Finding the Fourth Proportional to 94.20, 129.69 and 74.76

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Solution

The fourth proportional to 94.20, 129.69 and 74.76 is: 102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.20 : 129.69 = 74.76 : x
  2. Step 2: Convert to fraction form
    94.20/129.69 = 74.76/x
  3. Step 3: Cross multiply
    94.20x = 129.69 × 74.76
  4. Step 4: Simplify right side
    94.20x = 9,695.62
  5. Step 5: Solve for x
    x = 9,695.62/94.20
  6. Step 6: Final answer
    x = 102.93

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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.