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Finding the Fourth Proportional to 94.25, 129.87 and 74.66

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Solution

The fourth proportional to 94.25, 129.87 and 74.66 is: 102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.25 : 129.87 = 74.66 : x
  2. Step 2: Convert to fraction form
    94.25/129.87 = 74.66/x
  3. Step 3: Cross multiply
    94.25x = 129.87 × 74.66
  4. Step 4: Simplify right side
    94.25x = 9,696.09
  5. Step 5: Solve for x
    x = 9,696.09/94.25
  6. Step 6: Final answer
    x = 102.88

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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.