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Finding the Fourth Proportional to 149.52, 206.16 and 94.19

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Solution

The fourth proportional to 149.52, 206.16 and 94.19 is: 129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.52 : 206.16 = 94.19 : x
  2. Step 2: Convert to fraction form
    149.52/206.16 = 94.19/x
  3. Step 3: Cross multiply
    149.52x = 206.16 × 94.19
  4. Step 4: Simplify right side
    149.52x = 19,418.21
  5. Step 5: Solve for x
    x = 19,418.21/149.52
  6. Step 6: Final answer
    x = 129.87

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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.